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Quasi-projective moduli for polarized manifolds

Author: Eckart Viehweg
Publisher: Berlin ; New York : Springer, ©1995.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Bd. 30.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Viehweg, Eckart, 1948-
Quasi-projective moduli for polarized manifolds.
Berlin ; New York : Springer, ©1995
(DLC) 95015903
(OCoLC)32391549
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Eckart Viehweg
ISBN: 9783642797453 3642797458
OCLC Number: 680621203
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (viii, 320 pages).
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 1. Moduli Problems and Hilbert Schemes --
2. Weakly Positive Sheaves and Vanishing Theorems --
3. D. Mumford's Geometric Invariant Theory --
4. Stability and Ampleness Criteria --
5. Auxiliary Results on Locally Free Sheaves and Divisors --
6. Weak Positivity of Direct Images of Sheaves --
7. Geometric Invariant Theory on Hilbert Schemes --
8. Allowing Certain Singularities --
9. Moduli as Algebraic Spaces.
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Bd. 30.
Responsibility: Eckart Viehweg.

Abstract:

A precise formulation of global moduli problems in algebraic geometry, the definition of moduli schemes or of algebraic moduli spaces for curves and for certain higher dimensional manifolds have only  Read more...

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