Proceedings of Symposia in Pure Mathematics 1997; 896 pp; hardcover Volume: 62 ISBN10: 0821804936 ISBN13: 9780821804933 List Price: US$201 Member Price: US$160.80 Order Code: PSPUM/62
 This volume contains many of the lectures delivered at the AMS Summer Research Institute on Algebraic Geometry held at the University of California, Santa Cruz in July 1995. The aim of the conference was to provide a comprehensive view of the development of algebraic geometry in the past decade and to lay special emphasis on emerging new directions. The focus of the papers in these volumes is on expository surveys of important areas rather than on technical presentations of new results. These proceedings will be an indispensable reference and guide for researchers in algebraic geometry or nearby fields. Features:  Comprehensive coverage of developments over the past decade.
 Emphasis on new directions and future developments.
 Connections to related fields.
 Many expository survey papers.
Readership Graduate students and research mathematicians interested in algebraic geometry and related fields. Table of Contents Part 1. Geometry and Topology of Algebraic Surfaces  F. Catanese  Homological algebra and algebraic surfaces
 C. Ciliberto  The bicanonical map for surfaces of general type
 R. Friedman  Donaldson and SeibergWitten invariants of algebraic surfaces
 K. G. O'Grady  Moduli of vectorbundles on surfaces
 M. Teicher  Braid groups, algebraic surfaces and fundamental groups of complements of branch curves
Higher Dimensional Algebraic Geometry  M. Andreatta and J. Wiśniewski  A view on contractions of higher dimensional varieties
 A. Bertram  Stable pairs and log flips
 L. Ein  Multiplier ideals, vanishing theorems and applications
 J. Kollár  Singularities of pairs
 K. E. Smith  Vanishing, singularities and effective bounds via prime characteristic local algebra
Motives and Connections with Arithmetic  S. Bloch  Lectures on mixed motives
 M. Rapoport  Period domains over finite and local fields
 C. Soulé  Hermitian vector bundles on arithmetic varieties
Real Algebraic Varieties and Singularities  S. M. GuseinZade  Invariants of generic plane curves and invariants of singularities
 F. Sottile  Enumerative geometry for real varieties
Part 2. Quantum Cohomology and Connections with Physics  R. Donagi  SeibergWitten integrable systems
 W. Fulton and R. Pandharipande  Notes on stable maps and quantum cohomology
 R. Hain and E. Looijenga  Mapping class groups and moduli spaces of curves
 J. Li and G. Tian  Algebraic and symplectic geometry of GromovWitten invariants
Fundamental Groups and NonAbelian Hodge Theory  L. Katzarkov  On the Shafarevich maps
 C. Simpson  The Hodge filtration on nonabelian cohomology
Complex Geometry  J.P. Demailly  Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials
 C. LeBrun  Twistors for tourists: A pocket guide for algebraic geometers
Toric Geometry  D. A. Cox  Recent developments in toric geometry
 B. Sturmfels  Equations defining toric varieties
