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Compactifying Moduli spaces

Hacking, Paul.

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Compactifying Moduli spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Compactifying Moduli spaces/ by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini ... [et al.].
作者:	Hacking, Paul.
其他作者:	Laza, Radu.
出版者:	Basel :Springer Basel : : 2016.,
面頁冊數:	vii, 135 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Moduli theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-0348-0921-4
ISBN:	9783034809214$q(electronic bk.)

Compactifying Moduli spaces
Hacking, Paul.

Compactifying Moduli spaces[electronic resource] /by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini ... [et al.]. - Basel :Springer Basel :2016. - vii, 135 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

560909
Moduli theory.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Compactifying Moduli spaces
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505 0 $a 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.
520 $a 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.
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