Moduli Theory and Classification Theory of Algebraic Varieties

Häftad, Engelska, 1977

Del 620 i serien Lecture Notes in Mathematics

302 kr

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Produktinformation

Utgivningsdatum:1977-11-01
Mått:155 x 235 x 11 mm
Vikt:306 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:189
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540085225

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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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