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Compactifying Moduli Spaces
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Compactifying Moduli Spaces ([EBook]) / by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari.
Author
Hacking, Paul
Added Personal Name
Laza, Radu
author.
Oprea, Dragos
author.
Bini, Gilberto
editor.
Lahoz, Martí
editor.
Macrí, Emanuele
editor.
Stellari, Paolo
editor.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2016.
Publication
Basel : : Springer Basel : : Imprint: Birkhäuser, , 2016.
Physical Details
VII, 135 p. 1 illus. in color. : online resource.
Series
Advanced courses in mathematics, CRM Barcelona
2297-0304
ISBN
9783034809214
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-0348-0921-4
Links to Related Works
Subject References:
Algebraic Geometry
.
Mathematics
.
Authors:
Bini, Gilberto
.
Hacking, Paul
.
Lahoz, Martí
.
Laza, Radu
.
Macrí, Emanuele
.
Oprea, Dragos
.
Stellari, Paolo
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Advanced courses in mathematics, CRM Barcelona
.
Classification:
516.35
.
.
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