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Compactifying Moduli Spaces

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Compactifying Moduli Spaces/ by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari.
Author:	Hacking, Paul.
other author:	Laza, Radu.
Description:	VII, 135 p. 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	https://doi.org/10.1007/978-3-0348-0921-4
ISBN:	9783034809214

Compactifying Moduli Spaces
Hacking, Paul.

Compactifying Moduli Spaces[electronic resource] /by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari. - 1st ed. 2016. - VII, 135 p. 1 illus. in color.online resource. - Advanced Courses in Mathematics - CRM Barcelona,2297-0304. - Advanced Courses in Mathematics - CRM Barcelona,.

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.

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.

ISBN: 9783034809214

Standard No.: 10.1007/978-3-0348-0921-4doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Compactifying Moduli Spaces
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