**Contemporary Mathematics**

Volume: 555;
2011;
215 pp;
Softcover

MSC: Primary 05; 13; 14;

**Print ISBN: 978-0-8218-4959-0
Product Code: CONM/555**

List Price: $88.00

AMS Member Price: $70.40

MAA Member Price: $79.20

**Electronic ISBN: 978-0-8218-8234-4
Product Code: CONM/555.E**

List Price: $83.00

AMS Member Price: $66.40

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# Commutative Algebra and Its Connections to Geometry

Share this page *Edited by *
*Alberto Corso; Claudia Polini*

This volume contains papers based on
presentations given at the Pan-American Advanced Studies Institute
(PASI) on commutative algebra and its connections to geometry, which
was held August 3–14, 2009, at the Universidade Federal de Pernambuco
in Olinda, Brazil.

The main goal of the program was to detail recent developments in
commutative algebra and interactions with such areas as algebraic
geometry, combinatorics and computer algebra. The articles in this
volume concentrate on topics central to modern commutative algebra:
the homological conjectures, problems in positive and mixed
characteristic, tight closure and its interaction with birational
geometry, integral dependence and blowup algebras, equisingularity
theory, Hilbert functions and multiplicities, combinatorial
commutative algebra, Gröbner bases and computational
algebra.

#### Readership

Graduate students and research mathematicians interested in commutative algebra and algebraic geometry.

# Table of Contents

## Commutative Algebra and Its Connections to Geometry

- Contents v6 free
- Preface vii8 free
- List of Mini Courses at PASI 2009 xi12 free
- List of Talks at PASI 2009 xiii14 free
- PASI 2009 Photos xv16 free
- Hilbert depth of powers of the maximal ideal 118 free
- A note on reductions of monomial ideals in k[x, y](x,y) 1330
- Plücker-Clebsch formula in higher dimension 3552
- Invariants of ideals generated by pfaffians 4764
- Hilbert polynomial and the intersection of ideals 6380
- Polynomial vector fields with algebraic trajectories 7188
- Minimal free resolutions for certain affine monomial curves 87104
- Uniform bounds for Hilbert coefficients of parameters 97114
- Absolute integral closure 119136
- A property of the Frobenius map of a polynomial ring 137154
- A note on the variety of pairs of matrices whose product is symmetric 145162
- Combinatorics of symbolic Rees algebras of edge ideals of clutters 151168
- Reconciling Riemann-Roch results 165182
- Hilbert functions of Cohen-Macaulay local rings 173190
- Some homological properties of almost Gorenstein rings 201218