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Compactifying Moduli spaces [electronic resource] / Paul Hacking, Radu Laza, Dragos Oprea ; [edited by] Gilberto Bini ... and others.

Hacking, Paul, author.; Laza, Radu, author.; Oprea, Dragos, author.; Bini, Gilberto.; Lahoz, Martí.; Macrí, Emanuele.; Stellari, Paolo.
2016
QA564
Available Online
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Title
Compactifying Moduli spaces [electronic resource] / Paul Hacking, Radu Laza, Dragos Oprea ; [edited by] Gilberto Bini ... and others.
Author
Hacking, Paul, author.
ISBN
9783034809214 (electronic book)
3034809212 (electronic book)
9783034809207
DOI
https://doi.org/10.1007/978-3-0348-0921-4
Published
Basel : Birkhäuser, 2016.
Language
English
Description
1 online resource : illustrations
Item Number
10.1007/978-3-0348-0921-4 doi
Call Number
QA564
Dewey Decimal Classification
516.35
Summary
This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated. Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps. Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Added Author
Laza, Radu, author.
Oprea, Dragos, author.
Bini, Gilberto.
Lahoz, Martí.
Macrí, Emanuele.
Stellari, Paolo.
Series
Advanced courses in mathematics, CRM Barcelona.
Available in Other Form
Print version: 9783034809207
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Foreword
1: Perspectives on moduli spaces
The GIT Approach to constructing moduli spaces
Moduli and periods
The KSBA approach to moduli spaces
Bibliography
2: Compact moduli of surfaces and vector bundles
Moduli spaces of surfaces of general type
Wahl singularities
Examples of degenerations of Wahl type
Exceptional vector bundles associated to Wahl degenerations
Examples
Bibliography
3: Notes on the moduli space of stable quotients
Morphism spaces and Quot schemes over a fixed curve
Stable quotients
Stable quotient invariants
Wall-crossing and other geometries
Bibliography.

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