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Combinatorial Algebraic Geometry

Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels

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  • © 2014

Overview

Authors:
  1. Aldo Conca

    1. Dipartimento di Matematica, Università di Genova, Genova, Italy

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  2. Sandra Di Rocco

    1. Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden

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  3. Jan Draisma

    1. Department of Mathematics and Computer Science, TU Eindhoven, Eindhoven, The Netherlands

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  4. June Huh

    1. Department of Mathematics, University of Michigan at Ann Arbor, Ann Arbor, USA

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  5. Bernd Sturmfels

    1. Department of Mathematics, University of California, Berkeley, Berkeley, USA

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  6. Filippo Viviani

    1. Dipartimento di Matematica, Università Roma Tre, Roma, Italy

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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)

  1. Front Matter

    Pages i-vii
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  2. Koszul Algebras and Their Syzygies

    • Aldo Conca
    Pages 1-31

  3. Noetherianity up to Symmetry

    • Jan Draisma
    Pages 33-61

  4. Likelihood Geometry

    • June Huh, Bernd Sturmfels
    Pages 63-117

  5. Linear Toric Fibrations

    • Sandra Di Rocco
    Pages 119-147

  6. A Tour on Hermitian Symmetric Manifolds

    • Filippo Viviani
    Pages 149-239

  7. Back Matter

    Pages 241-242
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Keywords

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.

Authors and Affiliations

  • Dipartimento di Matematica, Università di Genova, Genova, Italy

    Aldo Conca

  • Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden

    Sandra Di Rocco

  • Department of Mathematics and Computer Science, TU Eindhoven, Eindhoven, The Netherlands

    Jan Draisma

  • Department of Mathematics, University of Michigan at Ann Arbor, Ann Arbor, USA

    June Huh

  • Department of Mathematics, University of California, Berkeley, Berkeley, USA

    Bernd Sturmfels

  • 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, Combinatorics, Commutative Rings and Algebras

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