Advertisement

Moduli of Curves and Abelian Varieties

The Dutch Intercity Seminar on Moduli

  • Carel Faber
  • Eduard Looijenga

Part of the Aspects of Mathematics book series (ASMA, volume 33)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Gerard van der Geer, Frans Oort
    Pages 1-21
  3. Carel Faber, Eduard Looijenga
    Pages 23-45
  4. Gerard van der Geer
    Pages 65-89
  5. Eduard Looijenga
    Pages 131-150
  6. Robbert Dijkgraaf
    Pages 151-199
  7. Back Matter
    Pages 200-200

About this book

Introduction

The Dutch Intercity Seminar on Moduli, which dates back to the early
eighties, was an initiative of G. van der Geer, F. Oort and C. Peters.
Through the years it became a focal point of Dutch mathematics and
it gained some fame, also outside Holland, as an active biweekly
research seminar. The tradition continues up to today.
The present volume, with contributions of R. Dijkgraaf, C. Faber,
G. van der Geer, R. Hain, E. Looijenga, and F. Oort, originates
from the seminar held in 1995--96. Some of the articles here were
discussed, in preliminary form, in the seminar; others are completely
new. Two introductory papers, on moduli of abelian varieties and
on moduli of curves, accompany the articles.
Topics include a stratification of a moduli space of abelian varieties
in positive characteristic, and the calculation of the classes of the
strata, tautological classes for moduli of abelian varieties as well as
for moduli of curves, correspondences between moduli spaces of curves,
locally symmetric families of curves and jacobians, and the role of
symmetric product spaces in quantum field theory, string theory and
matrix theory.

Keywords

Abelian variety Dimension Forschung Grad Grothendieck topology algebra algebraic geometry algebraische Geometrie mathematics moduli space research stability

Editors and affiliations

  • Carel Faber
    • 1
    • 2
  • Eduard Looijenga
    • 3
  1. 1.Dept. of MathematicsOklahoma State UniversityStillwaterUSA
  2. 2.Dept. of MathematicsRoyal Institute of TechnologyStockholmSweden
  3. 3.Dept. of MathematicsUniversity of UtrechtUtrechtThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-322-90172-9
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 1999
  • Publisher Name Vieweg+Teubner Verlag
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-322-90174-3
  • Online ISBN 978-3-322-90172-9
  • Series Print ISSN 0179-2156
  • Buy this book on publisher's site