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Moduli Theory and Classification Theory of Algebraic Varieties (Lecture Notes in Mathematics, 620) - Softcover
Synopsis
Moduli theory of algebraic varieties and classification theory of compact complex spaces.- Moduli spaces for polarized algebraic varieties.- Group quotients in the category of analytic spaces and the category of algebraic spaces.- Applications of the quotient theorems to moduli of algebraic varieties.- Quotients for affine schemes by reductive algebraic groups.- Quotients in the category of schemes.- Mumford's construction of the moduli variety for curves and polarized abelian varieties. Other applications of Mumford's quotient theory.- Other methods of treating moduli problems. Artin's method of algebraic stacks. Griffiths's method of period maps.- Compactification of moduli spaces.- Fine moduli spaces. The universal families for stable curves with level n-structure.- Applications of moduli theory to fibre spaces and the additivity formula for the Kodaira dimension of fibre spaces. Open problems.
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- PublisherSpringer
- Publication date1977
- ISBN 10 354008522X
- ISBN 13 9783540085225
- BindingPaperback
- LanguageEnglish
- Number of pages195
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Moduli Theory and Classification Theory of Algebraic Varieties Lecture Notes in Mathematics, 620
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Moduli Theory and Classification Theory of Algebraic Varieties (Paperback or Softback)
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Springer 11/1/1977, 1977
ISBN 10: 354008522X
ISBN 13: 9783540085225
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Moduli Theory and Classification Theory of Algebraic Varieties. Lecture notes in mathematics; 620.
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