# Combinatorial Aspects of Commutative Algebra

Share this page *Edited by *
*Viviana Ene; Ezra Miller*

This volume contains the proceedings of the
Exploratory Workshop on Combinatorial Commutative Algebra and Computer
Algebra, which took place in Mangalia, Romania on May 29–31, 2008. It
includes research papers and surveys reflecting some of the current
trends in the development of combinatorial commutative algebra and
related fields.

This volume focuses on the presentation of the newest research
results in minimal resolutions of polynomial ideals (combinatorial
techniques and applications), Stanley-Reisner theory and Alexander
duality, and applications of commutative algebra and of combinatorial
and computational techniques in algebraic geometry and topology. Both
the algebraic and combinatorial perspectives are well represented and
some open problems in the above directions have been included.

# Table of Contents

## Combinatorial Aspects of Commutative Algebra

- Contents v6 free
- Preface vii8 free
- On the classification of toric singularities 110 free
- An overview on the minimal free resolutions of lexsegment ideals 514
- Cohen-Macaulay squarefree lexsegment ideals generated in degree 2 2534
- On simple A-multigraded minimal resolutions 3342
- Tangent cones of numerical semigroup rings 4554
- The Igusa local zeta functions of GL2(Qp)-orbit of Fermat's binary form 5968
- Arithmetical rank of monomial ideals of deviation two 7382
- A survey of combinatorial aspects in the topology of complex hyperplane arrangements 113122
- A class of locally complete intersection multiple structures on smooth algebraic varieties as support 129138
- Topological Cohen–Macaulay criteria for monomial ideals 137146
- Regularity and the case of few generators for Stanley–Reisner ideals of subword complexes 157166
- The type of the base ring associated to a transversal polymatroid 169178