Moduli Theory and Classification Theory of Algebraic Varieties [electronic resource] / by Herbert Popp.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 9783540370314
- 512 23
- QA150-272
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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