Di Rocco Sandra, Sturmfels Bernd (Editors). Combinatorial Algebraic Geometry

Springer, 2014. — 239 pages. — ISBN: 978-3-319-04869-7; ISBN: 978-3-319-04870-3Combinatorics 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.Koszul Algebras and Their Syzygies.
Noetherianity up to Symmetry.
Likelihood Geometry.
Linear Toric Fibrations.
A Tour on Hermitian Symmetric Manifolds.