**Contemporary Mathematics**

Volume: 423;
2007;
324 pp;
Softcover

MSC: Primary 05; 52;
Secondary 14; 20

Print ISBN: 978-0-8218-4080-1

Product Code: CONM/423

List Price: $97.00

Individual Member Price: $77.60

**Electronic ISBN: 978-0-8218-8102-6
Product Code: CONM/423.E**

List Price: $97.00

Individual Member Price: $77.60

# Algebraic and Geometric Combinatorics

Share this page *Edited by *
*Christos A. Athanasiadis; Victor V. Batyrev; Dimitrios I. Dais; Martin Henk; Francisco Santos*

This volume contains original research and survey articles stemming from the Euroconference “Algebraic and Geometric Combinatorics”. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen–Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan–Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.

#### Readership

Graduate students and research mathematicians interested in various topics in combinatorics.

# Table of Contents

## Algebraic and Geometric Combinatorics

- Contents v6 free
- Lattice Polytopes with a given h*-Polynomial 116 free
- Nice Initial Complexes of Some Classical Ideals 1126
- Ratliff-Rush Monomial Ideals 4358
- Graph Coloring Manifolds 5166
- Geometric Combinatorics in the Study of Compact Toric Surfaces 7186
- On the Existence of Crepant Resolutions of Gorenstein Abelian Quotient Singularities in Dimensions ≥ 4 125140
- Kazhdan-Lusztig Combinatorics via Sheaves on Bruhat Graphs 195210
- Cohen-Macaulay Cell Complexes 205220
- Homology Tests for Graph Colorings 221236
- Polyhedra and Polytopes: Algebra and Combinatorics 235250
- Classification of Pseudo-Symmetric Simplicial Reflexive Polytopes 269284
- Constructions for 4-Polytopes and the Cone of Flag Vectors 283298
- Groupoids in Combinatorics – Applications of a Theory of Local Symmetries 305320