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| Artikel-Nr.: 5667A-9783540085225 Herst.-Nr.: 9783540085225 EAN/GTIN: 9783540085225 |
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| 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. Weitere Informationen: | | Author: | H. Popp | Verlag: | Springer Berlin | Sprache: | eng |
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| Weitere Suchbegriffe: Algebraische Varietät; Klassifikation; Modul; Algebra, Algebraische Varietät, Klassifikation, Modul, Moduli, algebra |
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