Arithmetic Geometry

  • Gary Cornell
  • Joseph H. Silverman

Table of contents

  1. Front Matter
    Pages i-xv
  2. Gerd Faltings
    Pages 1-8
  3. Michael Rosen
    Pages 79-101
  4. J. S. Milne
    Pages 103-150
  5. Joseph H. Silverman
    Pages 151-166
  6. J. S. Milne
    Pages 167-212
  7. M. Artin
    Pages 213-230
  8. Joseph H. Silverman
    Pages 253-265
  9. Benedict H. Gross
    Pages 327-339
  10. Paul Vojta
    Pages 341-353
  11. Gary Cornell, Joseph H. Silverman
    Pages 354-354

About this book


This volume is the result of a (mainly) instructional conference on arithmetic geometry, held from July 30 through August 10, 1984 at the University of Connecticut in Storrs. This volume contains expanded versions of almost all the instructional lectures given during the conference. In addition to these expository lectures, this volume contains a translation into English of Falt­ ings' seminal paper which provided the inspiration for the conference. We thank Professor Faltings for his permission to publish the translation and Edward Shipz who did the translation. We thank all the people who spoke at the Storrs conference, both for helping to make it a successful meeting and enabling us to publish this volume. We would especially like to thank David Rohrlich, who delivered the lectures on height functions (Chapter VI) when the second editor was unavoidably detained. In addition to the editors, Michael Artin and John Tate served on the organizing committee for the conference and much of the success of the conference was due to them-our thanks go to them for their assistance. Finally, the conference was only made possible through generous grants from the Vaughn Foundation and the National Science Foundation.


Abelian variety Blowing up Compactification Dimension Divisor Finite Isogenie Riemann-Roch theorem addition arithmetic field function functions sheaves theorem

Editors and affiliations

  • Gary Cornell
    • 1
  • Joseph H. Silverman
    • 2
  1. 1.Department of MathematicsUniversity of ConnecticutStorrsUSA
  2. 2.Department of MathematicsBoston UniversityBostonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1986
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8657-5
  • Online ISBN 978-1-4613-8655-1
  • Buy this book on publisher's site