Moduli theory and classification theory of algebraic varieties
著者
書誌事項
Moduli theory and classification theory of algebraic varieties
（Lecture notes in mathematics, 620）
Springer-Verlag, 1977
- : Berlin
- : New York
- タイトル別名
-
Moduli theory and classification theory
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注記
Bibliography: p. 178-185
Includes index
内容説明・目次
目次
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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