Academic literature on the topic 'Geometry, Algebraic'
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Journal articles on the topic "Geometry, Algebraic":
Hacon, Christopher, Daniel Huybrechts, Yujiro Kawamata, and Bernd Siebert. "Algebraic Geometry." Oberwolfach Reports 12, no. 1 (2015): 783–836. http://dx.doi.org/10.4171/owr/2015/15.
Tyurin, N. A. "Algebraic Lagrangian geometry: three geometric observations." Izvestiya: Mathematics 69, no. 1 (February 28, 2005): 177–90. http://dx.doi.org/10.1070/im2005v069n01abeh000527.
Voisin, Claire. "Algebraic Geometry versus Kähler geometry." Milan Journal of Mathematics 78, no. 1 (March 17, 2010): 85–116. http://dx.doi.org/10.1007/s00032-010-0113-8.
PLOTKIN, BORIS. "SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY." International Journal of Algebra and Computation 17, no. 05n06 (August 2007): 1133–64. http://dx.doi.org/10.1142/s0218196707003986.
Toën, Bertrand. "Derived algebraic geometry." EMS Surveys in Mathematical Sciences 1, no. 2 (2014): 153–245. http://dx.doi.org/10.4171/emss/4.
Debarre, Olivier, David Eisenbud, Gavril Farkas, and Ravi Vakil. "Classical Algebraic Geometry." Oberwolfach Reports 18, no. 2 (August 24, 2022): 1519–77. http://dx.doi.org/10.4171/owr/2021/29.
Darke, Ian, and M. Reid. "Undergraduate Algebraic Geometry." Mathematical Gazette 73, no. 466 (December 1989): 351. http://dx.doi.org/10.2307/3619332.
Debarre, Olivier, David Eisenbud, Frank-Olaf Schreyer, and Ravi Vakil. "Classical Algebraic Geometry." Oberwolfach Reports 9, no. 2 (2012): 1845–93. http://dx.doi.org/10.4171/owr/2012/30.
Catanese, Fabrizio, Christopher Hacon, Yujiro Kawamata, and Bernd Siebert. "Complex Algebraic Geometry." Oberwolfach Reports 10, no. 2 (2013): 1563–627. http://dx.doi.org/10.4171/owr/2013/27.
Debarre, Olivier, David Eisenbud, Gavril Farkas, and Ravi Vakil. "Classical Algebraic Geometry." Oberwolfach Reports 11, no. 3 (2014): 1695–745. http://dx.doi.org/10.4171/owr/2014/31.
Dissertations / Theses on the topic "Geometry, Algebraic":
Miscione, Steven. "Loop algebras and algebraic geometry." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=116115.
Lurie, Jacob 1977. "Derived algebraic geometry." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/30144.
Includes bibliographical references (p. 191-193).
The purpose of this document is to establish the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise criteria for the representability of a moduli functor by geometric objects of these types.
by Jacob Lurie.
Ph.D.
Balchin, Scott Lewis. "Augmented homotopical algebraic geometry." Thesis, University of Leicester, 2017. http://hdl.handle.net/2381/40623.
Rennie, Adam Charles. "Noncommutative spin geometry." Title page, contents and introduction only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phr4163.pdf.
Dos, Santos João Pedro Pinto. "Fundamental groups in algebraic geometry." Thesis, University of Cambridge, 2006. https://www.repository.cam.ac.uk/handle/1810/252015.
Slaatsveen, Anna Aarstrand. "Decoding of Algebraic Geometry Codes." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-13729.
Birkar, Caucher. "Topics in modern algebraic geometry." Thesis, University of Nottingham, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.421475.
Lundman, Anders. "Topics in Combinatorial Algebraic Geometry." Doctoral thesis, KTH, Matematik (Avd.), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-176878.
Den här avhandlingen utgörs av sex artiklar inom algebraisk geometri som är nära kopplade till kombinatorik. I artikel A betraktar vi kompletta inbäddningar av glatta toriska variteter X ↪ PN sådana att för något fixt heltal k är det t-te oskulerande rummet i varje punkt av maximal dimension om och endast om t ≤ k. Vårt huvudresultat är att detta antagande är ekvivalent med att den polytop som motsvarar inbäddningen är en Cayleypolytop av ordning k, vars samtliga kanter har längd åtminstonde k. Detta resultat generaliserar en tidigare känd karaktärisering av David Perkinson. Vi visar även att ovanstående antagande är ekvivalent med antagandet att Seshadri- konstanten är lika med k i varje punkt i X. Därmed generaliserar vårt resultat ett tidigare resultat av Atsushi Ito. I artikel B introducerar vi H-konstanter, vilka mäter negativiteten av kurvor på uppblåsningar av ytor. Vi relaterar dessa konstanter till den begränsade negativitetsförmodan. Vidare erhåller vi begränsningar för konstanterna när vi enbart betraktar unioner av linjer i det reella och komplexa projektiva planet. I artikel C studerar vi Gaussavbildningen av ordning k, för k > 1, som avbildar en punkt i en varitet på det k-te oskulerande rummet i samma punkt. Vårt huvudresultat är att, i likhet med fallet k = 1, är dessa högre ordningens Gaussavbildningar ändliga på glatta variteter vars k-te oskulerande rum är fulldimensionellt överallt. Vidare ger vi konvexgeometriska beskrivningar av dessa avbildningar för toriska variteter. I artikel D klassificerar vi scheman av tjocka punkter på Hirzebruchytor vars initalsekvenser är av maximal eller nära maximal längd. Intitialgraden och initialsekvensen för sådana scheman är nära relaterade till den välkända Nagata- förmodan. I artikel E introducerar vi paketet LatticePolytopes till Macaulay2. Detta paket utökar funktionaliteten i Macaulay2 för beräkningar inom torisk och konvex geometri. I artikel F beräknar vi Seshadrikonstanten i generella punkter på glatta toriska ytor som uppfyller vissa konvexgeometriska villkor på de associerade polygonerna. Våra beräkningar koppplar samman Seshadrikonstanten i en generell punkt med jetsepareringen och det icke-normaliserade spektralvärdet hos ytorna.
QC 20151112
Hu, Jiawei. "Partial actions in algebraic geometry." Doctoral thesis, Universite Libre de Bruxelles, 2018. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/273459.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
Garcia-Puente, Luis David. "Algebraic Geometry of Bayesian Networks." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/11133.
Ph. D.
Books on the topic "Geometry, Algebraic":
Oystaeyen, F. van. Algebraic geometry for associative algebras. New York: M. Dekker, 2000.
Cox, David A. Using algebraic geometry. 2nd ed. New York: Springer, 2005.
Cox, David A. Using algebraic geometry. New York: Springer, 1998.
Lefschetz, Solomon. Algebraic geometry. Mineola, N.Y: Dover Publications, 2005.
Harris, Joe. Algebraic Geometry. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2189-8.
Sommese, Andrew John, Aldo Biancofiore, and Elvira Laura Livorni, eds. Algebraic Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0083328.
Abramovich, D., A. Bertram, L. Katzarkov, R. Pandharipande, and M. Thaddeus, eds. Algebraic Geometry. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/pspum/080.1.
Abramovich, D., A. Bertram, L. Katzarkov, R. Pandharipande, and M. Thaddeus, eds. Algebraic Geometry. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/pspum/080.2.
Keum, JongHae, and Shigeyuki Kondō, eds. Algebraic Geometry. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/conm/422.
Kurke, H., and J. H. M. Steenbrink, eds. Algebraic Geometry. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0685-3.
Book chapters on the topic "Geometry, Algebraic":
Stillwell, John. "Algebraic Geometry." In Undergraduate Texts in Mathematics, 85–97. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55193-3_6.
Wells, Raymond O. "Algebraic Geometry." In Differential and Complex Geometry: Origins, Abstractions and Embeddings, 5–16. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58184-2_1.
Mazzola, Guerino. "Algebraic Geometry." In The Topos of Music IV: Roots, 1411–17. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64495-0_6.
Wallach, Nolan R. "Algebraic Geometry." In Universitext, 3–29. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65907-7_1.
Elliott, David L. "Algebraic Geometry." In Bilinear Control Systems, 247–50. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1023/b101451_11.
Beshaj, Lubjana. "Algebraic Geometry." In Mathematics in Cyber Research, 97–132. Boca Raton: Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9780429354649-3.
Harris, Joe. "Algebraic Groups." In Algebraic Geometry, 114–29. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2189-8_10.
Bogomolov, F. A., and A. N. Landia. "2-Cocycles and Azumaya algebras under birational transformations of algebraic schemes." In Algebraic Geometry, 1–5. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0685-3_1.
Harris, Joe. "Affine and Projective Varieties." In Algebraic Geometry, 3–16. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2189-8_1.
Harris, Joe. "Definitions of Dimension and Elementary Examples." In Algebraic Geometry, 133–50. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2189-8_11.
Conference papers on the topic "Geometry, Algebraic":
Sharir, Micha. "Algebraic Techniques in Geometry." In ISSAC '18: International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3208976.3209028.
Roan, Shi-shyr. "Algebraic Geometry and Physics." In Third Asian Mathematical Conference 2000. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777461_0042.
LÊ, DŨNG TRÁNG, and BERNARD TEISSIER. "GEOMETRY OF CHARACTERISTIC VARIETIES." In Algebraic Approach to Differential Equations. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814273244_0003.
Borghesi, Simone. "Cohomology operations and algebraic geometry." In International Conference in Homotopy Theory. Mathematical Sciences Publishers, 2007. http://dx.doi.org/10.2140/gtm.2007.10.75.
BIRKAR, CAUCHER. "BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0068.
Soleev, A., and N. Soleeva. "Power geometry and algebraic equations." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013): Proceedings of the International Conference on Mathematical Sciences and Statistics 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4823880.
Daniyarova, E., A. Myasnikov, and V. Remeslennikov. "Unification theorems in algebraic geometry." In A Festschrift in Honor of Anthony Gaglione. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793416_0007.
Barczik, Günter, Oliver Labs, and Daniel Lordick. "Algebraic Geometry in Architectural Design." In eCAADe 2009: Computation: The New Realm of Architectural Design. eCAADe, 2009. http://dx.doi.org/10.52842/conf.ecaade.2009.455.
Wampler, Charles W. "Numerical algebraic geometry and kinematics." In ISSAC07: International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: ACM, 2007. http://dx.doi.org/10.1145/1277500.1277506.
Cariñena, J. F., A. Ibort, G. Marmo, G. Morandi, Fernando Etayo, Mario Fioravanti, and Rafael Santamaría. "Geometrical description of algebraic structures: Applications to Quantum Mechanics." In GEOMETRY AND PHYSICS: XVII International Fall Workshop on Geometry and Physics. AIP, 2009. http://dx.doi.org/10.1063/1.3146238.
Reports on the topic "Geometry, Algebraic":
Bashelor, Andrew Clark. Enumerative Algebraic Geometry: Counting Conics. Fort Belvoir, VA: Defense Technical Information Center, May 2005. http://dx.doi.org/10.21236/ada437184.
Stiller, Peter. Algebraic Geometry and Computational Algebraic Geometry for Image Database Indexing, Image Recognition, And Computer Vision. Fort Belvoir, VA: Defense Technical Information Center, October 1999. http://dx.doi.org/10.21236/ada384588.
Thompson, David C., Joseph Maurice Rojas, and Philippe Pierre Pebay. Computational algebraic geometry for statistical modeling FY09Q2 progress. Office of Scientific and Technical Information (OSTI), March 2009. http://dx.doi.org/10.2172/984161.
Bates, Daniel J., Daniel A. Brake, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler. Real Numerical Algebraic Geometry: Finding All Real Solutions of a Polynomial System. Fort Belvoir, VA: Defense Technical Information Center, February 2014. http://dx.doi.org/10.21236/ada597283.
Rabier, Patrick J., and Werner C. Rheinboldt. A Geometric Treatment of Implicit Differential-Algebraic Equations. Fort Belvoir, VA: Defense Technical Information Center, May 1991. http://dx.doi.org/10.21236/ada236991.
Watts, Paul. Differential geometry on Hopf algebras and quantum groups. Office of Scientific and Technical Information (OSTI), December 1994. http://dx.doi.org/10.2172/89507.
Yau, Stephen S. PDE, Differential Geometric and Algebraic Methods in Nonlinear Filtering. Fort Belvoir, VA: Defense Technical Information Center, January 1993. http://dx.doi.org/10.21236/ada260967.
Yau, Stephen S. PDE, Differential Geometric and Algebraic Methods for Nonlinear Filtering. Fort Belvoir, VA: Defense Technical Information Center, February 1996. http://dx.doi.org/10.21236/ada310330.
Mundy, Joseph L. Representation and Recognition with Algebraic Invariants and Geometric Constraint Models. Fort Belvoir, VA: Defense Technical Information Center, December 1993. http://dx.doi.org/10.21236/ada282926.
Mundy, Joseph L. Representation and Recognition with Algebraic Invariants and Geometric Constraint Models. Fort Belvoir, VA: Defense Technical Information Center, September 1993. http://dx.doi.org/10.21236/ada271395.