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Compactifying Moduli Spaces / / by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari



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Autore: Hacking Paul Visualizza persona
Titolo: Compactifying Moduli Spaces / / by Paul Hacking, Radu Laza, Dragos Oprea ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari Visualizza cluster
Pubblicazione: Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (141 p.)
Disciplina: 516.35
Soggetto topico: Algebraic geometry
Algebraic Geometry
Persona (resp. second.): LazaRadu
OpreaDragos
BiniGilberto
LahozMartí
MacríEmanuele
StellariPaolo
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Compactifying Moduli Spaces  Visualizza cluster
ISBN: 3-0348-0921-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254094303321
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Serie: Advanced Courses in Mathematics - CRM Barcelona, . 2297-0304