Combinatorial Algebraic Geometry

Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels
2014
ISBN: 978-3-319-04869-7
Verlag: Springer International Publishing

Buch, Englisch, Band 2108, 239 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 3869 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Conca, Aldo

Di Rocco, Sandra

Viviani, Filippo

Draisma, Jan

Huh, June

Sturmfels, Bernd

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

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.