Moduli Theory and Classification Theory of Algebraic Varieties. 1st ed. 1977

種類:

電子ブック

責任表示:

by H. Popp

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1977

著者名:

• Popp, H.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 620

ISBN:

9783540370314 [3540370315]    

注記:

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.

ローカル注記:

学内専用E-BOOKS (local access only)