Combinatorial algebraic geometry : Levico Terme, Italy 2013
著者
書誌事項
Combinatorial algebraic geometry : Levico Terme, Italy 2013
（Lecture notes in mathematics, 2108 . CIME Foundation subseries）
Springer, c2014
- : pbk
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注記
Conference proceedings
Other authors: Sandra Di Rocco, Jan Draisma, June Huh, Bernd Sturmfels, Filippo Vivani ; edited by Sandra Di Rocco, Bernd Sturmfels
"In collaboration with CIRM, Centro Internazionale per la Ricerca Matematica"
"Fondazione CIME Roberto Conti"
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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