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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.
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.
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 |
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 |
Warnhinweis