Moduli Theory and Classification Theory of Algebraic Varieties (Lecture Notes in Mathematics, 620, Band 620) - Softcover

Popp, Herbert

 
9783540085225: Moduli Theory and Classification Theory of Algebraic Varieties (Lecture Notes in Mathematics, 620, Band 620)
Softcover
ISBN 10: 354008522X ISBN 13: 9783540085225
Verlag: Springer, 2009

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
354008522X
ISBN 13 
9783540085225
Einband
Taschenbuch
Anzahl der Seiten
196
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