Moduli Theory and Classification Theory of Algebraic Varieties: 620 - Brossura

Popp, Herbert

 
9783540085225: Moduli Theory and Classification Theory of Algebraic Varieties: 620

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.

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9783662174548: Moduli Theory and Classification Theory of Algebraic Varieties

Edizione in evidenza

ISBN 10:  3662174545 ISBN 13:  9783662174548
Casa editrice: Springer, 2014
Brossura