Combinatorial Algebraic Geometry - Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels

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.

List of contents

Koszul algebras, Koszul homology and syzygies.- Infinite-dimensional systems of polynomial equations with symmetry.- Maximum Likelihood Geometry.- Linear Toric fibrations and Cayley polytopes.- Toroidal compactifications and tropicalizations of moduli spaces.

Summary

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.

Product details

• Authors: Ald Conca, Aldo Conca, Sandr Di Rocco, Sandra Di Rocco, Jan Draisma, Jan et al Draisma, June Huh, Bernd Sturmfels, Filippo Viviani
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 28.01.2014
• EAN: 9783319048697
• ISBN: 978-3-31-904869-7
• No. of pages: 239
• Dimensions: 157 mm x 232 mm x 15 mm
• Weight: 399 g
• Illustrations: VII, 239 p. 26 illus., 4 illus. in color.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, B, Combinatorics, Mathematics and Statistics, Algebraic Geometry, Discrete Mathematics, Combinatorics & graph theory, Commutative algebra, Commutative rings, Commutative Rings and Algebras