**Contemporary Mathematics**

Volume: 312;
2002;
291 pp;
Softcover

MSC: Primary 14;

Print ISBN: 978-0-8218-2152-7

Product Code: CONM/312

List Price: $96.00

Individual Member Price: $76.80

**Electronic ISBN: 978-0-8218-7902-3
Product Code: CONM/312.E**

List Price: $96.00

Individual Member Price: $76.80

# Symposium in Honor of C. H. Clemens

Share this page *Edited by *
*Aaron Bertram; James A. Carlson; Holger Kley*

This volume honors Herb Clemens and his contributions to algebraic
geometry. The exceptional gathering of mathematicians at the symposium
attest to his remarkable career. Papers in the book address topics in
which Clemens has been active: the geometry of threefolds, enumerative
geometry, Hodge theory, and higher-order methods for attacking
deformation problems.

The volume is suitable for graduate students and research mathematicians
interested in algebraic geometry.

#### Table of Contents

# Table of Contents

## Symposium in Honor of C. H. Clemens

- Contents v6 free
- Preface. Herb Clemens vii8 free
- Orthogonal complex hyperbolic arrangements 112 free
- Sketches of KdV 920
- Vector bundles on the cubic threefold 7182
- Using symmetry to count rational curves 8798
- Exceptional groups and del Pezzo surfaces 101112
- The regulator map for a general curve 117128
- Versal deformations and superpotentials for rational curves in smooth threefolds 129140
- The Nash conjecture for nonprojective threefolds 137148
- Bounds and Q-Gorenstein smoothings of smoothable stable log surfaces 153164
- The integral of powers of a function 163174
- On semipositivity of sheaves of differential operators and the degree of a unipolar Q-Fano variety 177188
- Stringy geometry and topology of orbifolds 187198
- The Prym Torelli problem: an update and a reformulation as a question in birational geometry 235246
- 0. Introduction. 235246
- 1. The Prym Torelli problem and Donagi's conjecture. 236247
- 2. The "base locus of quadrics" method for Jacobians. 238249
- 3. The base locus of quadrics method for Prym varieties. 240251
- 4. Andreotti's approach to Torelli via Gauss maps. 251262
- 5. Andreotti's birational formulation of Torelli. 253264
- References 262273

- On the punctual Hilbert scheme of a symplectic fourfold 265276

#### Readership

Advanced graduate students and research mathematicians interested in algebraic geometry.