Algebraic and analytic geometry / Amnon Neeman.

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This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it...

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Bibliographic Details
Main Author: Neeman, Amnon (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2007.
Series:London Mathematical Society lecture note series ; 345.
Subjects:
Geometry, Algebraic.
Geometry, Analytic.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (xii, 420 pages) : digital, PDF file(s).
Variant Title:
Algebraic & Analytic Geometry.
Format: Electronic eBook
Contents:
  • Foreword
  • 1. Introduction
  • 2. Manifolds
  • 3. Schemes
  • 4. The complex topology
  • 5. The analytification of a scheme
  • 6. The high road to analytification
  • 7. Coherent sheaves
  • 8. Projective space
  • the statements
  • 9. Projective space
  • the proofs
  • 10. The proof of GAGA
  • Appendix. The proofs concerning analytification; Bibliography
  • Glossary
  • Index.