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Compactifying Moduli Spaces

Compactifying Moduli Spaces
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
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