**Contemporary Mathematics**

Volume: 448;
2007;
270 pp;
Softcover

MSC: Primary 05; 13; 14; 65;

Print ISBN: 978-0-8218-4094-8

Product Code: CONM/448

List Price: $86.00

Individual Member Price: $68.80

**Electronic ISBN: 978-0-8218-8127-9
Product Code: CONM/448.E**

List Price: $86.00

Individual Member Price: $68.80

# Algebra, Geometry and Their Interactions

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

This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

#### Table of Contents

# Table of Contents

## Algebra, Geometry and Their Interactions

- Contents iii4 free
- Preface v6 free
- List of Talks at MAGIC'05 vii8 free
- Instability of projective reconstruction from 1-view near critical configurations in higher dimensions 110 free
- Examples and counterexamples on the conjectured Hilbert function of multiple points 1322
- Projectively full ideals in Noetherian rings, a survey 3342
- Cohomological degrees and the HomAB conjecture 4352
- A minimal generating set for the first syzygies of a monomial ideal 6372
- Lifting the determinantal property 6978
- Resolutions of square-free monomial ideals via facet ideals: A survey 91100
- Some finiteness properties of Lyubeznik's F-modules 119128
- Minimal homogeneous liaison and licci ideals 129138
- Unobstructedness and dimension of families of codimension 3 ACM algebras 141150
- Ample vector bundles with sections vanishing on submanifolds of sectional genus three 165174
- Finding all real points of a complex curve 183192
- On the multiplicity conjecture 207216
- Efficiently detecting torsion points and subtori 215224
- Divisor class groups of graded hypersurfaces 237246
- Irrelevant exceptional divisors for curves on a smooth surface 245254
- Variation of hyperplane sections 255264
- Jet schemes of determinantal varieties 261270

#### Readership

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