Del 620 - Lecture Notes in Mathematics

Moduli Theory and Classification Theory of Algebraic Varieties

Häftad, Engelska, 1977

AvH. Popp,Herbert Popp

389 kr

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Produktinformation

Utgivningsdatum1977-11-01
Mått155 x 235 x 11 mm
Vikt306 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor189
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540085225

Tillhör följande kategorier

Algebra inom Naturvetenskap och teknik

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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