Moduli theory and classification theory of algebraic varieties
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Bibliographic Information
Moduli theory and classification theory of algebraic varieties
（Lecture notes in mathematics, 620）
Springer-Verlag, 1977
- : Berlin
- : New York
- Other Title
-
Moduli theory and classification theory
Available at / 69 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||6207708522S
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
: Berlin510/L4972020986384
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Note
Bibliography: p. 178-185
Includes index
Description and Table of Contents
Table of Contents
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.
by "Nielsen BookData"