Compactifying Moduli Spaces

✍ Scribed by Paul Hacking, Radu Laza, Dragos Oprea, Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari

Publisher: Birkhäuser
Year: 2016
Tongue: English
Leaves: 141
Series: Advanced Courses in Mathematics - CRM Barcelona
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Table of Contents

Front Matter....Pages i-vii
Perspectives on the Construction and Compactification of Moduli Spaces....Pages 1-39
Compact Moduli Spaces of Surfaces and Exceptional Vector Bundles....Pages 41-67
Notes on the Moduli Space of Stable Quotients....Pages 69-135

✦ Subjects

Moduli theory;Geometry, Algebraic;MATHEMATICS -- Geometry -- General

📜 SIMILAR VOLUMES

Compactifying Moduli Spaces

📁 Compactifying Moduli Spaces

✍ Paul Hacking, Radu Laza, Dragos Oprea (auth.), Gilberto Bini, Martí Lahoz, Emanu 📂 Library 📅 2016 🏛 Birkhäuser Basel 🌐 English

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 const

Compactifying Moduli Spaces for Abelian

📁 Compactifying Moduli Spaces for Abelian Varieties

✍ Martin C. Olsson (auth.) 📂 Library 📅 2008 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than

Compactifying moduli spaces for abelian

📁 Compactifying moduli spaces for abelian varieties

✍ Martin C. Olsson (auth.) 📂 Library 📅 2008 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

Compactifying Moduli Spaces for Abelian

📁 Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics, 1958)

✍ Martin C. Olsson 📂 Library 📅 2008 🏛 Springer 🌐 English

This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than

Moduli Spaces of Abelian Surfaces: Compa

📁 Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions

✍ Klaus Hulek, Constantin Kahn, Steven H. Weintraub 📂 Library 📅 1993 🏛 De Gruyter 🌐 English

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. </s

On the Compactification of Moduli Spaces

📁 On the Compactification of Moduli Spaces for Algebraic K3 Surfaces

✍ Francesco Scattone 📂 Library 📅 1988 🏛 Amer Mathematical Society 🌐 English