Moduli theory and classification theory of algebraic varieties /
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| Author / Creator: | Popp, H. (Herbert), 1936- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, 1977. |
| Description: | 1 online resource (189 pages). |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 620 Lecture notes in mathematics (Springer-Verlag) ; 620. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11070952 |
Table of Contents:
- 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{u2019}s construction of the moduli variety for curves and polarized abelian varieties. Other applications of Mumford{u2019}s quotient theory
- Other methods of treating moduli problems. Artin{u2019}s method of algebraic stacks. Griffiths{u2019}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.