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Compactifying Moduli Spaces
Taschenbuch von Dragos Oprea (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Provides an overview of main techniques in compactifying moduli spaces

Shows various approaches to find degenerations of family of smooth manifolds

Develops various examples which help understanding the theory involved

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advanced Courses in Mathematics - CRM Barcelona
Inhalt: vii
135 S.
1 farbige Illustr.
135 p. 1 illus. in color.
ISBN-13: 9783034809207
ISBN-10: 3034809204
Sprache: Englisch
Herstellernummer: 978-3-0348-0920-7
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Oprea, Dragos
Laza, Radu
Hacking, Paul
Redaktion: Macrí, Emanuele
Lahoz, Martí
Stellari, Paolo
Bini, Gilberto
Herausgeber: Gilberto Bini/Martí Lahoz/Emanuele Macrí et al
Auflage: 1st ed. 2016
Hersteller: Springer Basel
Springer Basel AG
Advanced Courses in Mathematics - CRM Barcelona
Maße: 240 x 168 x 9 mm
Von/Mit: Dragos Oprea (u. a.)
Erscheinungsdatum: 12.02.2016
Gewicht: 0,255 kg
Artikel-ID: 104710560
Zusammenfassung

Provides an overview of main techniques in compactifying moduli spaces

Shows various approaches to find degenerations of family of smooth manifolds

Develops various examples which help understanding the theory involved

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advanced Courses in Mathematics - CRM Barcelona
Inhalt: vii
135 S.
1 farbige Illustr.
135 p. 1 illus. in color.
ISBN-13: 9783034809207
ISBN-10: 3034809204
Sprache: Englisch
Herstellernummer: 978-3-0348-0920-7
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Oprea, Dragos
Laza, Radu
Hacking, Paul
Redaktion: Macrí, Emanuele
Lahoz, Martí
Stellari, Paolo
Bini, Gilberto
Herausgeber: Gilberto Bini/Martí Lahoz/Emanuele Macrí et al
Auflage: 1st ed. 2016
Hersteller: Springer Basel
Springer Basel AG
Advanced Courses in Mathematics - CRM Barcelona
Maße: 240 x 168 x 9 mm
Von/Mit: Dragos Oprea (u. a.)
Erscheinungsdatum: 12.02.2016
Gewicht: 0,255 kg
Artikel-ID: 104710560
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