Book contents
- Frontmatter
- Contents
- Foreword
- Birational Calabi–Yau n-folds have equal Betti numbers
- A Calabi–Yau threefold with non-Abelian fundamental group
- Algebraic Gromov–Witten invariants
- Kähler hyperbolicity and variations of Hodge structures
- Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
- On some tensor representations of the Cremona group of the projective plane
- Hilbert schemes and simple singularities
- Bounds for Seshadri constants
- Degenerate double covers of the projective plane
- The geometry underlying mirror symmetry
- Duality of polarized K3 surfaces
- On symplectic invariants of algebraic varieties coming from crepant contractions
- The Bogomolov–Pantev resolution, an expository account
- Mordell–Weil lattices for higher genus fibration over a curve
- Symplectic Gromov–Witten invariants
- A generic Torelli theorem for the quintic
- Flops, Type III contractions and Gromov–Witten invariants on Calabi–Yau threefolds
Foreword
Published online by Cambridge University Press: 04 August 2010
- Frontmatter
- Contents
- Foreword
- Birational Calabi–Yau n-folds have equal Betti numbers
- A Calabi–Yau threefold with non-Abelian fundamental group
- Algebraic Gromov–Witten invariants
- Kähler hyperbolicity and variations of Hodge structures
- Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
- On some tensor representations of the Cremona group of the projective plane
- Hilbert schemes and simple singularities
- Bounds for Seshadri constants
- Degenerate double covers of the projective plane
- The geometry underlying mirror symmetry
- Duality of polarized K3 surfaces
- On symplectic invariants of algebraic varieties coming from crepant contractions
- The Bogomolov–Pantev resolution, an expository account
- Mordell–Weil lattices for higher genus fibration over a curve
- Symplectic Gromov–Witten invariants
- A generic Torelli theorem for the quintic
- Flops, Type III contractions and Gromov–Witten invariants on Calabi–Yau threefolds
Summary
The volume contains a selection of seventeen survey and research articles from the July 1996 Warwick European algebraic geometry conference. These papers give a lively picture of current research trends in algebraic geometry, and between them cover many of the outstanding hot topics in the modern subject. Several of the papers are expository accounts of substantial new areas of advance in mathematics, carefully written to be accessible to the general reader. The book will be of interest to a wide range of students and nonexperts in different areas of mathematics, geometry and physics, and is required reading for all specialists in algebraic geometry.
The European algebraic geometry conference was one of the climactic events of the 1995-96 EPSRC Warwick algebraic geometry symposium, and turned out to be one of the major algebraic geometry events of the 1990s. The scientific committee consisted of A. Beauville (Paris), F. Catanese (Pisa), K. Hulek (Hannover) and C. Peters (Grenoble) representing AGE (Algebraic Geometry in Europe, an EU HCM-TMR network) and N.J. Hitchin (Oxford), J.D.S. Jones and M. Reid (Warwick) representing Warwick and British mathematics. The conference attracted 178 participants from 22 countries and featured 33 lectures from a star-studded cast of speakers, including most of the authors represented in this volume.
- Type
- Chapter
- Information
- New Trends in Algebraic Geometry , pp. vii - xPublisher: Cambridge University PressPrint publication year: 1999