ENGLISH

Quasi-projective Moduli for Polarized Manifolds (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge)

By Eckart Viehweg

Book information

Publisher
Springer
Year
1995
ISBN
3-540-59255-5, 9783540592556
LCC
QA564 .V54 1995
Open Library ID
OL783788M
Language
english
Format
PDF
Filesize
2 MB (1576000 bytes)
Series
A Series of Modern Surveys in Mathematics
Edition
1
Pages
320\326
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms. Both methods together allow to prove the central result of the text, the existence of quasi-projective moduli schemes, whose points parametrize the set of manifolds with ample canonical divisors or the set of polarized manifolds with a semi-ample canonical divisor. Starting with A. Grothendieck's construction of Hibert schemes, including the basics of D. Mumford's geometric invariant theory and an introduction to M. Artin's theory of algebraic spaces, the reader finds the tools for the construction of moduli, usually not contained in textbooks on algebraic geometry.

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