**Contemporary Mathematics**

Volume: 162;
1994;
410 pp;
Softcover

MSC: Primary 14;

Print ISBN: 978-0-8218-5179-1

Product Code: CONM/162

List Price: $50.00

AMS Member Price: $40.00

MAA Member Price: $45.00

**Electronic ISBN: 978-0-8218-7753-1
Product Code: CONM/162.E**

List Price: $50.00

AMS Member Price: $40.00

MAA Member Price: $45.00

# Classification of Algebraic Varieties

Share this page *Edited by *
*Ciro Ciliberto; E. Laura Livorni; Andrew J. Sommese*

This volume contains the proceedings of the Algebraic Geometry Conference on Classification of Algebraic Varieties, held in May 1992 at the University of L'Aquila in Italy. The papers discuss a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered are algebraic curve theory, algebraic surface theory, the theory of minimal models, braid groups and the topology of algebraic varieties, toric varieties, Calabi-Yau three-folds, enumerative formulas, and generalizations of Kähler differential geometry. In addition to algebraic geometers, theoretical physicists in some areas will find this book useful. The book is also suitable for an advanced graduate course in algebraic geometry, as it provides an overview of some areas of current research.

#### Readership

Advanced graduate students in algebraic geometry, algebraic geometers, and theoretical physicists.

# Table of Contents

## Classification of Algebraic Varieties

- Contents vii8 free
- Introduction ix10 free
- List of Participants xi12 free
- List of Seminars xix20 free
- On curves in C(2) generating proper abelian subvarieties of J(C) 122 free
- Lefschetz type results for proper intersections 1940
- Some effects of the spectral values on reductions 3152
- Surfaces in P4 and deficiency modules 4970
- The class C is not stable by small deformations. II 6586
- Surfaces with K2 = x = 2 and special nets of quadrics in 3-space 7798
- Non-isomorphic curves of genus four with isomorphic (non-polarized) jacobians 129150
- Deformations of symmetric products of curves 135156
- Q-acyclic surfaces and their deformations 143164
- On a question of J. Kollár 209230
- Boundedness for some special families of embedded manifolds 215236
- Generalized Euler sequence and toric varieties 227248
- A generalized Teissier-Plucker formula 249270
- Log surfaces of general type; some conjectures 261282
- On triple covers of Pn as very ample divisors 277298
- Component numbers for torsion sections of semistable elliptic surfaces 293314
- Braid group techniques in complex geometry III: Projective degeneration of v3 313334
- Braid group techniques in complex geometry IV: Braid monodromy of the branch curve S3 of V3 → CP2 and application to π1 (CP2 – S3, *) 333354
- On the irregularity of cyclic coverings of the projective plane 359380
- Counting rational points on cubic surfaces 371392
- Miyaoka-Yau inequality for normal surfaces and local analogues 381402
- Minimal models of Calabi-Yau threefolds 403424