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  • Book
  • © 1988

The Red Book of Varieties and Schemes

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

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Table of contents (28 chapters)

  1. Front Matter

    Pages N2-V
  2. Varieties

    1. Front Matter

      Pages 1-1
    2. Some algebra

      • David Mumford
      Pages 2-7
    3. Irreducible algebraic sets

      • David Mumford
      Pages 7-15
    4. Definition of a morphism: I

      • David Mumford
      Pages 15-24
    5. Sheaves and affine varieties

      • David Mumford
      Pages 24-35
    6. Definition of prevarieties and morphism

      • David Mumford
      Pages 35-45
    7. Products and the Hausdorff Axiom

      • David Mumford
      Pages 46-55
    8. Dimension

      • David Mumford
      Pages 56-67
    9. The fibres of a morphism

      • David Mumford
      Pages 67-75
    10. Complete varieties

      • David Mumford
      Pages 75-80
    11. Complex varieties

      • David Mumford
      Pages 80-89
  3. Preschemes

    1. Front Matter

      Pages 91-92
    2. Spec (R)

      • David Mumford
      Pages 93-108
    3. The category of preschemes

      • David Mumford
      Pages 108-121
    4. Varieties are preschemes

      • David Mumford
      Pages 121-131
    5. Fields of definition

      • David Mumford
      Pages 131-142
    6. Closed subpreschemes

      • David Mumford
      Pages 143-155
    7. The functor of points of a prescheme

      • David Mumford
      Pages 155-167
    8. Proper morphisms and finite morphisms

      • David Mumford
      Pages 168-176

About this book

"The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text." (Mathematical Reviews)

Keywords

  • algebra
  • boundary element method
  • Dimension
  • Excel
  • Finite
  • Mathematica
  • Morphism
  • review
  • Scheme
  • service
  • sets
  • sheaves
  • singularity
  • theorem

Authors and Affiliations

  • Department of Mathematics, Harvard University, Cambridge, USA

    David Mumford

Bibliographic Information

  • Book Title: The Red Book of Varieties and Schemes

  • Authors: David Mumford

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-21581-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • eBook ISBN: 978-3-662-21581-4Published: 11 November 2013

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: V, 315

  • Number of Illustrations: 13 b/w illustrations

  • Topics: Algebraic Geometry

Buying options

eBook USD 74.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions