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The Red Book of Varieties and Schemes

Second, Expanded Edition. Includes Michigan Lectures (1974) on Curves and their Jacobians

  • Authors
  • David¬†Mumford

Part of the Lecture Notes in Mathematics book series (LNM, volume 1358)

Table of contents

  1. Front Matter
    Pages N2-X
  2. David B. Mumford
    Pages 1-63
  3. David B. Mumford
    Pages 65-136
  4. David B. Mumford
    Pages 137-223
  5. David B. Mumford
    Pages 225-291
  6. David B. Mumford
    Pages 293-293
  7. Back Matter
    Pages 307-311

About this book

Introduction

Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduate students or mathematicians in other fields wishing to learn quickly what algebraic geometry is all about.
This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to learn
i) the concept of "scheme" as part of their study of algebraic geometry and
ii) an overview of moduli problems for curves and of the use of theta functions to study these.

Keywords

Schottky problem Theta functions algebraic varieties curves schemes

Bibliographic information

  • DOI https://doi.org/10.1007/b62130
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63293-1
  • Online ISBN 978-3-540-46021-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site