**Contemporary Mathematics**

Volume: 331;
2003;
358 pp;
Softcover

MSC: Primary 13; 14; 35;

Print ISBN: 978-0-8218-3233-2

Product Code: CONM/331

List Price: $103.00

Individual Member Price: $82.40

**Electronic ISBN: 978-0-8218-7921-4
Product Code: CONM/331.E**

List Price: $103.00

Individual Member Price: $82.40

# Commutative Algebra: Interactions with Algebraic Geometry

Share this page *Edited by *
*Luchezar L. Avramov; Marc Chardin; Marcel Morales; Claudia Polini*

This volume contains 21 articles based on invited talks given at two international conferences held in France in 2001. Most of the papers are devoted to various problems of commutative algebra and their relation to properties of algebraic varieties.

The book is suitable for graduate students and research mathematicians interested in commutative algebra and algebraic geometry.

#### Table of Contents

# Table of Contents

## Commutative Algebra: Interactions with Algebraic Geometry

- Contents v6 free
- Introduction vii8 free
- List of talks and references to publications ix10 free
- Linearization of local cohomology modules 116 free
- Multiplicity-free subvarieties of flag varieties 1328
- Morita contexts, idempotents, and Hochschild cohomology―with applications to invariant rings― 2540
- Introduction 2540
- 1. Morita contexts 2742
- 2. The grade of the stable endomorphism ring 3045
- 3. Equivalences to the generalized Nakayama conjecture 3651
- 4. The comparison homomorphism for Hochschild cohomology 3853
- 5. Hochschild cohomology of Auslander contexts 4156
- 6. Invariant rings: The general case 4459
- 7. Invariant rings: The commutative case 4762
- References 5166

- Some applications of two dimensional complete ideals 5570
- Generically finite morphisms and simultaneous resolution of singularities 7590
- Two results on the number of generators 101116
- When is a binomial ideal equal to a lattice ideal up to radical? 111126
- Depth and amplitude for unbounded complexes 119134
- On the ideal of minors of matrices of linear forms 139154
- Surjectivity of multiplication and F-regularity of multigraded rings 153168
- On the Ext-modules of ideals of Borel type 171186
- Sums of linked tepli ideals 187202
- Cartan involutiveness = Mumford regularity 193208
- The Frobenius endomorphism and homological dimensions 207222
- Characterization of some projective subschemes by locally free resolutions 235250
- On unique factorization in semigroups of complete ideals 267282
- Modules with strange homological properties and Chebychev polynomials 295310
- Notes on the behavior of the Ratliff-Rush filtration 313328
- On symbolic powers of prime ideals 329344
- Multiplicities and the number of generators of Cohen-Macaulay ideals 343358
- Chains of integrally closed ideals 353368

#### Readership

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