Moduli Theory and Classification Theory of Algebraic Varieties

H. Popp

ISBN 10: 354008522X / ISBN 13: 9783540085225

Editore: Springer Berlin Heidelberg Nov 1977, 1977

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 196 pp. Englisch. Codice articolo 9783540085225

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Titolo: Moduli Theory and Classification Theory of ...

Casa editrice: Springer Berlin Heidelberg Nov 1977

Data di pubblicazione: 1977

Legatura: Taschenbuch

Condizione: Neu

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Contenuti:

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.