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Relevant bibliographies by topics / Finite geometry; projective geometry / Books

Books on the topic 'Finite geometry; projective geometry'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Projective geometries over finite fields. 2nd ed. Oxford: Clarendon Press, 1998.

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2

A, Thas J., ed. General Galois geometries. Oxford: Clarendon Press, 1991.

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3

Barlotti, A. Finite Geometric Structures and their Applications. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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4

Katcher, Pollatsek Harriet Suzanne, ed. Difference sets: Connecting algebra, combinatorics and geometry. Providence, Rhode Island: American Mathematical Society, 2013.

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5

Coxeter, H. S. M. Projective geometry. 2nd ed. New York: Springer-Verlag, 1987.

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6

Projective geometry. New York: Springer-Verlag, 1988.

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7

Samuel, Pierre. Projective Geometry. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-3896-6.

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8

Fortuna, Elisabetta, Roberto Frigerio, and Rita Pardini. Projective Geometry. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42824-6.

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9

Bădescu, Lucian. Projective Geometry and Formal Geometry. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7936-1.

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10

Projective geometry and formal geometry. Basel: Birkhäuser, 2004.

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11

Bădescu, Lucian. Projective Geometry and Formal Geometry. Basel: Birkhäuser Basel, 2004.

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12

Analytic projective geometry. Zürich, Switzerland: European Mathematical Society Publishing House, 2014.

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13

T, Kneebone G., ed. Algebraic projective geometry. Oxford: Clarendon Press, 1998.

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14

Faure, Claude-Alain. Modern projective geometry. Dordrecht: Kluwer Academic Publishers, 2000.

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15

Faure, Claude-Alain, and Alfred Frölicher. Modern Projective Geometry. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9590-2.

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16

Heuel, Stephan. Uncertain Projective Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/b97201.

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17

Joseph, Kelly Paul, ed. Projective geometry and projective metrics. Mineola, N.Y: Dover Publications, 2006.

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18

Pierre, Samuel. Géométrie projective. Paris: Presses universitaires de France, 1986.

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19

Lectures in projective geometry. Mineola, N.Y: Dover Publications, 2005.

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20

Bennett, M. K. Affine and projective geometry. New York: Wiley, 1995.

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21

Totty, Rhiannon Lindsay. Introduction to projective geometry. Oxford: Oxford Brookes University, 1999.

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22

Wylie, Clarence Raymond. Introduction to projective geometry. Mineola, N.Y: Dover Publications, 2008.

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23

Elements of projective geometry. Mineola, N.Y: Dover Publications, 2005.

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24

Bennett, M. K. Affine and Projective Geometry. Hoboken, NJ, USA: John Wiley & Sons, Inc., 1995. http://dx.doi.org/10.1002/9781118032565.

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25

Richter-Gebert, Jürgen. Perspectives on Projective Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17286-1.

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26

1955-, Ballico E., ed. Projective geometry with applications. New York: M. Dekker, 1994.

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27

Whitehead, Alfred North. Axioms of projective geometry. [Place of publication not identified]: Nabu Press, 2010.

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28

T, Kromann Matthias, ed. Projective geometry and modern algebra. Boston: Birkhäuser, 1996.

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29

(Dietmar), Salamon D., ed. J-holomorphic curves and symplectic topology. 2nd ed. Providence, R.I: American Mathematical Society, 2012.

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30

Dynamics, Statistics and Projective Geometry of Galois Fields. Cambridge University Press, 2008.

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31

Dynamics, Statistics and Projective Geometry of Galois Fields. Cambridge University Press, 2008.

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32

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe.

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33

Barlotti, A. Finite Geometric Structures and their Applications: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo held in Bressanone , Italy, June 18-27, 1972. Springer, 2011.

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34

Tretkoff, Paula, and Hans-Christoph Im Hof. Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.001.0001.

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This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. It emphasizes those finite coverings that are free quotients of the complex 2-ball. The book also includes a background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function. The book began as a set of lecture notes, taken by the author, of a course given by Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes were then considerably expanded over a number of years. In this book, the author has expanded those notes even further, still stressing examples offered by finite covers of line arrangements. The book is largely self-contained and foundational material is introduced and explained as needed, but not treated in full detail. References to omitted material are provided for interested readers. Aimed at graduate students and researchers, this is an accessible account of a highly informative area of complex geometry.

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35

A Celebration of Algebraic Geometry (Clay Mathematics Proceedings). American Mathematical Society, 2013.

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36

Edwards, Lawrence. Projective Geometry. Rudolf Steiner Institute, 1996.

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37

Oswald, Veblen. Projective Geometry. Creative Media Partners, LLC, 2015.

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38

Faulkner, T. Ewan. Projective Geometry. Dover Publications, Incorporated, 2013.

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39

Mathews, George Ballard. Projective Geometry. Creative Media Partners, LLC, 2018.

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40

Coxeter, H. S. M. Projective Geometry. Springer, 1998.

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41

Faulkner, T. Ewan. Projective Geometry. Dover Publications, Incorporated, 2013.

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42

Edwards, Lawrence. Projective Geometry. 2nd ed. Floris Books, 2004.

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43

Faulkner, T. Ewan. Projective Geometry. Dover Publications, 2006.

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44

Whicher, O. Projective Geometry. Rudolf Steiner Press, 1986.

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45

Young, John W. Projective Geometry. The Mathematical Association of America, 2000.

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46

Dowling, Linnaeus Wayland. Projective Geometry. Creative Media Partners, LLC, 2018.

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47

Whicher, Olive. Projective Geometry. Steiner Press, Rudolf, 2013.

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48

Coxeter, H. S. M. Projective Geometry. Springer, 2003.

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49

Geir, Ellingsrud, ed. Complex projective geometry. Cambridge: Cambridge University Press, 1992.

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50

Calderbank, David M., Vladimir S. Matveev, Katharina Neusser, and Michael G. Eastwood. C-Projective Geometry. American Mathematical Society, 2021.

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