Relevant bibliographies by topics / Arithmetic geometry / Journal articles

Journal articles on the topic 'Arithmetic geometry'

To see the other types of publications on this topic, follow the link: Arithmetic geometry.
Author: Grafiati
Published: 4 June 2021
Last updated: 21 February 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Arithmetic geometry.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Faltings, Gerd, and Johan de Jong. "Arithmetic Geometry." Oberwolfach Reports 9, no. 3 (2012): 2335–88. http://dx.doi.org/10.4171/owr/2012/38.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Faltings, Gerd, Johan de Jong, and Peter Scholze. "Arithmetic Geometry." Oberwolfach Reports 13, no. 3 (2016): 2171–224. http://dx.doi.org/10.4171/owr/2016/38.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Faltings, Gerd, Johan de Jong, and Peter Scholze. "Arithmetic Geometry." Oberwolfach Reports 17, no. 2 (July 1, 2021): 1023–82. http://dx.doi.org/10.4171/owr/2020/20.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Brown, M. L. "ARITHMETIC GEOMETRY." Bulletin of the London Mathematical Society 19, no. 6 (November 1987): 628–31. http://dx.doi.org/10.1112/blms/19.6.628.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Rojas, J. Maurice. "Computational Arithmetic Geometry." Journal of Computer and System Sciences 62, no. 2 (March 2001): 216–35. http://dx.doi.org/10.1006/jcss.2000.1728.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Schwarz, A., and I. Shapiro. "Supergeometry and arithmetic geometry." Nuclear Physics B 756, no. 3 (November 2006): 207–18. http://dx.doi.org/10.1016/j.nuclphysb.2006.08.024.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Zuo, Kang. "Stability, geometry and arithmetic." Notices of the International Congress of Chinese Mathematicians 7, no. 1 (2019): 100. http://dx.doi.org/10.4310/iccm.2019.v7.n1.a34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Jannsen, Uwe. "Weights in arithmetic geometry." Japanese Journal of Mathematics 5, no. 1 (April 2010): 73–102. http://dx.doi.org/10.1007/s11537-010-0947-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Baldwin, John T., and Andreas Mueller. "Autonomy of Geometry." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 11 (February 5, 2020): 5–24. http://dx.doi.org/10.24917/20809751.11.1.

Full text
Abstract:
In this paper we present three aspects of the autonomy of geometry. (1) An argument for the geometric as opposed to the ‘geometric algebraic’ interpretation of Euclid’s Books I and II; (2) Hilbert’s successful project to axiomatize Euclid’s geometry in a first order geometric language, notably eliminating the dependence on the Archimedean axiom; (3) the independent conception of multiplication from a geometric as opposed to an arithmetic viewpoint.
APA, Harvard, Vancouver, ISO, and other styles
10

Scholl, A. J. "CONJECTURES IN ARITHMETIC ALGEBRAIC GEOMETRY." Bulletin of the London Mathematical Society 26, no. 1 (January 1994): 108–11. http://dx.doi.org/10.1112/blms/26.1.108.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Connes, Alain, and Caterina Consani. "Geometry of the arithmetic site." Advances in Mathematics 291 (March 2016): 274–329. http://dx.doi.org/10.1016/j.aim.2015.11.045.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

CHIN, C. H. "ARITHMETIC GEOMETRY OVER HYPERTRANSCENDENTAL FIELDS." International Journal of Modern Physics B 21, no. 23n24 (September 30, 2007): 4289–92. http://dx.doi.org/10.1142/s0217979207045554.

Full text
APA, Harvard, Vancouver, ISO, and other styles
13

Kudla, S. S. "Modular forms and arithmetic geometry." Current Developments in Mathematics 2002, no. 1 (2002): 135–79. http://dx.doi.org/10.4310/cdm.2002.v2002.n1.a4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
14

Chenevier, Gaëtan, Tasho Kaletha, Stephen S. Kudla, and Sophie Morel. "Automorphic Forms, Geometry and Arithmetic." Oberwolfach Reports 18, no. 3 (November 25, 2022): 2089–156. http://dx.doi.org/10.4171/owr/2021/39.

Full text
APA, Harvard, Vancouver, ISO, and other styles
15

SCHIMMRIGK, ROLF. "ARITHMETIC SPACE–TIME GEOMETRY FROM STRING THEORY." International Journal of Modern Physics A 21, no. 31 (December 20, 2006): 6323–50. http://dx.doi.org/10.1142/s0217751x06034343.

Full text
Abstract:
An arithmetic framework for string compactification is described. The approach is exemplified by formulating a strategy that allows to construct geometric compactifications from exactly solvable theories at c = 3. It is shown that the conformal field theoretic characters can be derived from the geometry of space–time, and that the geometry is uniquely determined by the two-dimensional field theory on the worldsheet. The modular forms that appear in these constructions admit complex multiplication, and allow an interpretation as generalized McKay–Thompson series associated to the Mathieu and Conway groups. This leads to a string motivated notion of arithmetic moonshine.
APA, Harvard, Vancouver, ISO, and other styles
16

Askey, Richard, Ryota Matsuura, and Sarah Sword. "The Inequality of Arithmetic and Geometric Means from Multiple Perspectives." Mathematics Teacher 109, no. 4 (November 2015): 314–18. http://dx.doi.org/10.5951/mathteacher.109.4.0314.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

Kim, Minhyong. "Arithmetic gauge theory: A brief introduction." Modern Physics Letters A 33, no. 29 (September 20, 2018): 1830012. http://dx.doi.org/10.1142/s0217732318300124.

Full text
Abstract:
Much of arithmetic geometry is concerned with the study of principal bundles. They occur prominently in the arithmetic of elliptic curves and, more recently, in the study of the Diophantine geometry of curves of higher genus. In particular, the geometry of moduli spaces of principal bundles holds the key to an effective version of Faltings’ theorem on finiteness of rational points on curves of genus at least 2. The study of arithmetic principal bundles includes the study of Galois representations, the structures linking motives to automorphic forms according to the Langlands program. In this paper, we give a brief introduction to the arithmetic geometry of principal bundles with emphasis on some elementary analogies between arithmetic moduli spaces and the constructions of quantum field theory.
APA, Harvard, Vancouver, ISO, and other styles
18

Acharya, B. D., and S. M. Hegde. "Arithmetic graphs." Journal of Graph Theory 14, no. 3 (July 1990): 275–99. http://dx.doi.org/10.1002/jgt.3190140302.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

Mudge, Michael R., Henry McKean, and Victor Moll. "Elliptic Curves (Function Theory, Geometry, Arithmetic)." Mathematical Gazette 84, no. 500 (July 2000): 364. http://dx.doi.org/10.2307/3621722.

Full text
APA, Harvard, Vancouver, ISO, and other styles
20

Manin, Yu I., and M. A. Tsfasman. "Rational varieties: algebra, geometry and arithmetic." Russian Mathematical Surveys 41, no. 2 (April 30, 1986): 51–116. http://dx.doi.org/10.1070/rm1986v041n02abeh003242.

Full text
APA, Harvard, Vancouver, ISO, and other styles
21

Ochman, Howard. "Bacterial Evolution: Chromosome Arithmetic and Geometry." Current Biology 12, no. 12 (June 2002): R427—R428. http://dx.doi.org/10.1016/s0960-9822(02)00916-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Scholze, Peter. "Canonical q-deformations in arithmetic geometry." Annales de la faculté des sciences de Toulouse Mathématiques 26, no. 5 (2017): 1163–92. http://dx.doi.org/10.5802/afst.1563.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

McConnell, Mark. "Classical projective geometry and arithmetic groups." Mathematische Annalen 290, no. 1 (March 1991): 441–62. http://dx.doi.org/10.1007/bf01459253.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Mitchell, Charles E. "Astronomy, Geometry, and the Ancient Greeks." Arithmetic Teacher 33, no. 9 (May 1986): 39–41. http://dx.doi.org/10.5951/at.33.9.0039.

Full text
Abstract:
In 1895, the Report of the Committee of Fifteen on Elementary Education cited two reasons for including arithmetic in the elementary school curriculum. The first. most often associated with this period, focused on the value of arithmetic as a mental discipline. This reason was soon to fall from favor.
APA, Harvard, Vancouver, ISO, and other styles
25

Perucca, Antonella, Joe Reguengo De Sousa, and Sebastiano Tronto. "Arithmetic Billiards." Recreational Mathematics Magazine 9, no. 16 (June 1, 2022): 43–54. http://dx.doi.org/10.2478/rmm-2022-0003.

Full text
Abstract:
Abstract Arithmetic billiards show a nice interplay between arithmetics and geometry. The billiard table is a rectangle with integer side lengths. A pointwise ball moves with constant speed along segments making a 45° angle with the sides and bounces on these. In the classical setting, the ball is shooted from a corner and lands in a corner. We allow the ball to start at any point with integer distances from the sides: either the ball lands in a corner or the trajectory is periodic. The length of the path and of certain segments in the path are precisely (up to the factor √2 or 2√2) the least common multiple and the greatest common divisor of the side lengths.
APA, Harvard, Vancouver, ISO, and other styles
26

Bell, Renee, Julia Hartmann, Valentijn Karemaker, Padmavathi Srinivasan, and Isabel Vogt. "Thinking Positive: Arithmetic Geometry in Characteristic $p$." Notices of the American Mathematical Society 66, no. 02 (February 1, 2019): 239. http://dx.doi.org/10.1090/noti1804.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Ghate, Eknath, and Eriko Hironaka. "The arithmetic and geometry of Salem numbers." Bulletin of the American Mathematical Society 38, no. 03 (March 27, 2001): 293–315. http://dx.doi.org/10.1090/s0273-0979-01-00902-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Salgado, Cec[! \' i!]lia. "Arithmetic and geometry of rational elliptic surfaces." Rocky Mountain Journal of Mathematics 46, no. 6 (December 2016): 2061–76. http://dx.doi.org/10.1216/rmj-2016-46-6-2061.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

Kontorovich, Alex, and Kei Nakamura. "Geometry and arithmetic of crystallographic sphere packings." Proceedings of the National Academy of Sciences 116, no. 2 (December 26, 2018): 436–41. http://dx.doi.org/10.1073/pnas.1721104116.

Full text
Abstract:
We introduce the notion of a “crystallographic sphere packing,” defined to be one whose limit set is that of a geometrically finite hyperbolic reflection group in one higher dimension. We exhibit an infinite family of conformally inequivalent crystallographic packings with all radii being reciprocals of integers. We then prove a result in the opposite direction: the “superintegral” ones exist only in finitely many “commensurability classes,” all in, at most, 20 dimensions.
APA, Harvard, Vancouver, ISO, and other styles
30

Nyman, A. "The geometry of arithmetic noncommutative projective lines." Journal of Algebra 414 (September 2014): 190–240. http://dx.doi.org/10.1016/j.jalgebra.2014.05.022.

Full text
APA, Harvard, Vancouver, ISO, and other styles
31

Lang, Cheng Lien, and Mong Lung Lang. "Arithmetic and geometry of the Hecke groups." Journal of Algebra 460 (August 2016): 392–417. http://dx.doi.org/10.1016/j.jalgebra.2016.05.001.

Full text
APA, Harvard, Vancouver, ISO, and other styles
32

Bauer, Ingrid, and Michael Stoll. "Geometry and arithmetic of primary Burniat surfaces." Mathematische Nachrichten 290, no. 14-15 (May 22, 2017): 2132–53. http://dx.doi.org/10.1002/mana.201600282.

Full text
APA, Harvard, Vancouver, ISO, and other styles
33

Lechtermann, Christina. "Die geometrischen Diagramme der ‚Geometria Culmensis‘." Das Mittelalter 22, no. 2 (November 7, 2017): 314–31. http://dx.doi.org/10.1515/mial-2017-0019.

Full text
Abstract:
AbstractThe ‘Geometria Culmensis’ (around 1400), the most ancient German educational book on practical geometry, tries to instruct lay surveyors as well as experts in the art of field measurement. The oldest existent manuscript transmits the Latin text together with the German adaption. Both texts show a similar albeit not equal set of diagrams illustrating the geometric and arithmetic problems proposed in the texts. The article tries to explore the ambivalent reference of the diagrams and shows how the ‘Geometria’ itself discusses their status as diagrammatic model and instrument.
APA, Harvard, Vancouver, ISO, and other styles
34

JIANG, D., and N. F. STEWART. "FLOATING-POINT ARITHMETIC FOR COMPUTATIONAL GEOMETRY PROBLEMS WITH UNCERTAIN DATA." International Journal of Computational Geometry & Applications 19, no. 04 (August 2009): 371–85. http://dx.doi.org/10.1142/s0218195909003015.

Full text
Abstract:
It has been suggested in the literature that ordinary finite-precision floating-point arithmetic is inadequate for geometric computation, and that researchers in numerical analysis may believe that the difficulties of error in geometric computation can be overcome by simple approaches. It is the purpose of this paper to show that these suggestions, based on an example showing failure of a certain algorithm for computing planar convex hulls, are misleading, and why this is so. It is first shown how the now-classical backward error analysis can be applied in the area of computational geometry. This analysis is relevant in the context of uncertain data, which may well be the practical context for computational-geometry algorithms such as, say, those for computing convex hulls. The exposition will illustrate the fact that the backward error analysis does not pretend to overcome the problem of finite precision: it merely provides a way to distinguish those algorithms that overcome the problem to whatever extent it is possible to do so. It is then shown that often the situation in computational geometry is exactly parallel to other areas, such as the numerical solution of linear equations, or the algebraic eigenvalue problem. Indeed, the example mentioned can be viewed simply as an example of the use of an unstable algorithm, for a problem for which computational geometry has already discovered provably stable algorithms. Finally, the paper discusses the implications of these analyses for applications in three-dimensional solid modeling. This is done by considering a problem defined in terms of a simple extension of the planar convex-hull algorithm, namely, the verification of the well-formedness of extruded objects. A brief discussion concerning more difficult problems in solid modeling is also included.
APA, Harvard, Vancouver, ISO, and other styles
35

Sharma, R., and T. N. Venkataramana. "Generations for Arithmetic Groups." Geometriae Dedicata 114, no. 1 (August 2005): 103–46. http://dx.doi.org/10.1007/s10711-005-0123-9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Lehmann, Brian, Sho Tanimoto, and Yuri Tschinkel. "Balanced line bundles on Fano varieties." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 743 (October 1, 2018): 91–131. http://dx.doi.org/10.1515/crelle-2015-0084.

Full text
Abstract:
Abstract A conjecture of Batyrev and Manin relates arithmetic properties of varieties with ample anticanonical class to geometric invariants. We analyze the geometry underlying these invariants using the Minimal Model Program and then apply our results to primitive Fano threefolds.
APA, Harvard, Vancouver, ISO, and other styles
37

Dobbs, David E. "A proof of the arithmetic-geometric mean inequality using non-Euclidean geometry." International Journal of Mathematical Education in Science and Technology 32, no. 5 (September 2001): 778–82. http://dx.doi.org/10.1080/002073901753124655.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

Frey, Gerhard. "Relations between arithmetic geometry and public key cryptography." Advances in Mathematics of Communications 4, no. 2 (May 2010): 281–305. http://dx.doi.org/10.3934/amc.2010.4.281.

Full text
APA, Harvard, Vancouver, ISO, and other styles
39

Hilton, Peter, and Jean Pedersen. "Looking into Pascal's Triangle: Combinatorics, Arithmetic, and Geometry." Mathematics Magazine 60, no. 5 (December 1, 1987): 305. http://dx.doi.org/10.2307/2690414.

Full text
APA, Harvard, Vancouver, ISO, and other styles
40

Kopp, Gene S. "The Arithmetic Geometry of Resonant Rossby Wave Triads." SIAM Journal on Applied Algebra and Geometry 1, no. 1 (January 2017): 352–73. http://dx.doi.org/10.1137/16m1077593.

Full text
APA, Harvard, Vancouver, ISO, and other styles
41

Hilton, Peter, and Jean Pedersen. "Looking into Pascal's Triangle: Combinatorics, Arithmetic, and Geometry." Mathematics Magazine 60, no. 5 (December 1987): 305–16. http://dx.doi.org/10.1080/0025570x.1987.11977330.

Full text
APA, Harvard, Vancouver, ISO, and other styles
42

Hattori, Toshiaki. "Asymptotic geometry of arithmetic quotients of symmetric spaces." Mathematische Zeitschrift 222, no. 2 (June 1996): 247–77. http://dx.doi.org/10.1007/bf02621866.

Full text
APA, Harvard, Vancouver, ISO, and other styles
43

Harpaz, Yonatan. "Geometry and arithmetic of certain log K3 surfaces." Annales de l’institut Fourier 67, no. 5 (2017): 2167–200. http://dx.doi.org/10.5802/aif.3132.

Full text
APA, Harvard, Vancouver, ISO, and other styles
44

Berthé, Valérie, Wolfgang Steiner, and Jörg M. Thuswaldner. "Geometry, dynamics, and arithmetic of $S$-adic shifts." Annales de l'Institut Fourier 69, no. 3 (2019): 1347–409. http://dx.doi.org/10.5802/aif.3273.

Full text
APA, Harvard, Vancouver, ISO, and other styles
45

Judge, Chris, and Eugene Gutkin. "Affine mappings of translation surfaces: geometry and arithmetic." Duke Mathematical Journal 103, no. 2 (June 2000): 191–213. http://dx.doi.org/10.1215/s0012-7094-00-10321-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
46

Hattori, Toshiaki. "Asymptotic geometry of arithmetic quotients of symmetric spaces." Mathematische Zeitschrift 222, no. 2 (June 3, 1996): 247–77. http://dx.doi.org/10.1007/pl00004534.

Full text
APA, Harvard, Vancouver, ISO, and other styles
47

Kerz, Moritz, and Alexander Schmidt. "On different notions of tameness in arithmetic geometry." Mathematische Annalen 346, no. 3 (August 25, 2009): 641–68. http://dx.doi.org/10.1007/s00208-009-0409-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
48

Tappenden, Jamie. "Geometry and generality in Frege's philosophy of arithmetic." Synthese 102, no. 3 (March 1995): 319–61. http://dx.doi.org/10.1007/bf01064120.

Full text
APA, Harvard, Vancouver, ISO, and other styles
49

Ferreira, Denise Helena Lombardo, Tadeu Fernandes De Carvalho, and Sandro Joel Mariano De Oliveira. "Um Estudo Sobre o Matemático Português Pedro Nunes." Jornal Internacional de Estudos em Educação Matemática 13, no. 1 (June 22, 2020): 94–102. http://dx.doi.org/10.17921/2176-5634.2020v13n1p94-102.

Full text
Abstract:
Trata-se de um artigo que tem por objetivo estudar as obras do matemático português Pedro Nunes, ou Petrus Nonius, destacando a obra intitulada Libro de Algebra em Arithmetica y Geometria. Para a elaboração deste trabalho foram usados informações e dados que se encontram disponíveis na internet e na literatura científica. Foram estudados os métodos de resolução de equações, para os quais Nunes usava tanto a álgebra quanto a geometria para suas demonstrações, além dos conhecimentos aprofundados dos livros de Euclides, os Elementos. Além disso, Nunes criou diversos instrumentos de medida, dentre os quais, anel náutico, instrumento de sombras e o nônio, mencionados neste trabalho. Palavras-chave: Pedro Nunes. Álgebra. Geometria. Instrumentos de Navegação. Abstract It is an article that aims to study the works of the Portuguese mathematician Pedro Nunes, or Petrus Nonius, highlighting the work entitled Book of Algebra in Arithmetic and Geometry. For the elaboration of this work, information and data were used that are available in the internet and in the scientific literature. Methods for solving equations were studied, for which Nunes used both algebra and geometry for his demonstrations, as well as the in-depth knowledge of Euclid's books, the Elements. In addition, Nunes created several measuring instruments, among them, nautical ring, shadow instrument and the vernier, mentioned in this work. Keywords: Pedro Nunes. Algebra. Geometry. Navigation instruments.
APA, Harvard, Vancouver, ISO, and other styles
50

Green, B. "Arithmetic progressions in sumsets." Geometric And Functional Analysis 12, no. 3 (August 1, 2002): 584–97. http://dx.doi.org/10.1007/s00039-002-8258-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Arithmetic geometry' for other source types:
Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography