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Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2108)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications.
Keywords
- 11H55,13D02,13P25,14H10,14M25,16S37,52B20,62F10
- Algebraic Statistics
- Equivariant Ideals
- Koszul Algebra
- Symmetric Manifolds
- Toric Varieties
- combinatorics
Authors and Affiliations
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Dipartimento di Matematica, Università di Genova, Genova, Italy
Aldo Conca
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Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden
Sandra Di Rocco
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Department of Mathematics and Computer Science, TU Eindhoven, Eindhoven, The Netherlands
Jan Draisma
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Department of Mathematics, University of Michigan at Ann Arbor, Ann Arbor, USA
June Huh
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Department of Mathematics, University of California, Berkeley, Berkeley, USA
Bernd Sturmfels
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Dipartimento di Matematica, Università Roma Tre, Roma, Italy
Filippo Viviani
Bibliographic Information
Book Title: Combinatorial Algebraic Geometry
Book Subtitle: Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels
Authors: Aldo Conca, Sandra Di Rocco, Jan Draisma, June Huh, Bernd Sturmfels, Filippo Viviani
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-04870-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-04869-7Published: 03 June 2014
eBook ISBN: 978-3-319-04870-3Published: 15 May 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 239
Number of Illustrations: 22 b/w illustrations, 4 illustrations in colour
Topics: Algebraic Geometry, Discrete Mathematics, Commutative Rings and Algebras