Quasi-projective moduli for polarized manifolds /
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 o...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1995]
|
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete ;
3. Folge, Bd. 30. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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 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. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 320 pages) |
| Format: | 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. |
| Bibliography: | Includes bibliographical references (pages [311]-314) and index. |
| ISBN: | 9783642797453 (electronic bk.) 3642797458 (electronic bk.) |