1.

Record Nr.

UNISALENTO991002947049707536

Titolo

Combinatorial algebraic geometry [e-book] : Levico Terme, Italy 2013 / Aldo Conca ... [et al.] ; edited by Sandra Di Rocco, Bernd Sturmfels ; in collaboration with CIRM, Centro internazionale per la ricerca matematica

Pubbl/distr/stampa

Cham [Switzerland] : Springer International Publishing, 2014

ISBN

9783319048703

Collana

Lecture notes in mathematics, 1617-9692 ; 2108

Classificazione

AMS 14-06

LC QA3.L28

Altri autori (Persone)

Conca, Aldoauthor

Di Rocco, Sandra

Sturmfels, Bernd

Disciplina

516.35

Soggetti

Geometry, algebraic

Algebra

Combinatorics

Lingua di pubblicazione

Inglese

Formato

Software

Livello bibliografico

Monografia

Nota di contenuto

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

Sommario/riassunto

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