Skip to main content
SpringerLink
Log in
Book cover

The Red Book of Varieties and Schemes

  • Book
  • © 1988

Overview

Authors:
  1. David Mumford

    1. Department of Mathematics, Harvard University, Cambridge, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (28 chapters)

  1. Preschemes

    1. Specialization

      • David Mumford
      Pages 177-189

  2. Local Properties of Schemes

    1. Front Matter

      Pages 191-191
      Download chapter PDF

    2. Quasi-coherent modules

      • David Mumford
      Pages 193-205

    3. Coherent modules

      • David Mumford
      Pages 205-215

    4. Tangent cones

      • David Mumford
      Pages 215-228

    5. Non-singularity and differentials

      • David Mumford
      Pages 228-242

    6. Étale morphisms

      • David Mumford
      Pages 242-254

    7. Uniformizing parameters

      • David Mumford
      Pages 254-259

    8. Non-singularity and the UFD property

      • David Mumford
      Pages 259-271

    9. Normal varieties and normalization

      • David Mumford
      Pages 272-286

    10. Zariski’s Main Theorem

      • David Mumford
      Pages 286-295

    11. Flat and smooth morphisms

      • David Mumford
      Pages 295-308

  3. Back Matter

    Pages 309-315
    Download chapter PDF
Back to top

Keywords

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)

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

Publish with us

Policies and ethics

Back to top

Search

Navigation