Moduli Theory and Classification Theory of Algebraic Varieties [electronic resource] /

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.

Bibliographic Details

Main Authors:	Popp, Herbert. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1977
Subjects:	Mathematics., Algebra.,
Online Access:	http://dx.doi.org/10.1007/BFb0067436
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