The Red Book of Varieties and Schemes : Includes the Michigan Lectures (1974) on Curves and their Jacobians. 2nd ed. 1999

種類:

電子ブック

責任表示:

by David Mumford

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999

著者名:

• Mumford, David.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1358

ISBN:

9783540460213 [3540460217]    

注記:

Varieties -- Preschemes -- Local properties of schemes -- References -- Appendix: Curves and their Jacobians -- Survey of work on the Schottky problem up to 1996 (by Enrico Arbarello) -- References -- Guide to the Literature and References (Curves and Their Jacobians) -- Supplementary Bibliography on the Schottky Problem.
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.

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