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作者 Hacking, Paul, author
書名 Compactifying Moduli spaces / by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini, Marti Lahoz, Emanuele Macri, Paolo Stellari
出版項 Basel : Springer Basel : Imprint: Birkhauser, 2016
國際標準書號 9783034809214 (electronic bk.)
9783034809207 (paper)
國際標準號碼 10.1007/978-3-0348-0921-4 doi
book jacket
說明 1 online resource (vii, 135 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Advanced courses in mathematics - CRM barcelona, 2297-0304
Advanced courses in mathematics - CRM barcelona
附註 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
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
Host Item Springer eBooks
主題 Moduli theory
Geometry, Algebraic
Mathematics
Algebraic Geometry
Alt Author Laza, Radu, author
Oprea, Dragos, author
Bini, Gilberto, editor
Lahoz, Marti, editor
Macri, Emanuele, editor
Stellari, Paolo, editor
SpringerLink (Online service)
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