Moduli Theory and Classification Theory of Algebraic Varieties

H. Popp

ISBN 10: 354008522X / ISBN 13: 9783540085225

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1977, 1977

About this Item

Neuware -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. 196 pp. Englisch.

Seller Inventory # 9783540085225

Bibliographic Details

• Title: Moduli Theory and Classification Theory of Algebraic Varieties
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1977
• Publication Date: 1977
• Language: English
• ISBN 10: 354008522X
• ISBN 13: 9783540085225
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 11D millimeters 235 millimeters width by 155 millimeters height by 11 millimeters depth
• Weight: 306 grams

About this title

Synopsis

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.