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Compactifying Moduli Spaces

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  • © 2016

Overview

Authors:
  1. Paul Hacking

    1. Department of Mathematics, University of Massachusetts, Amherst, USA

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  2. Radu Laza

    1. School of Mathematics, Institute for Advanced Study, Princeton, USA

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  3. Dragos Oprea

    1. Department of Mathematics, University of California, La Jolla, USA

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Editors:
  1. Gilberto Bini

    1. Università degli Studi di Milano, Milano, Italy

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  2. Martí Lahoz

    1. Université Paris Diderot, Paris, France

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  3. Emanuele Macrí

    1. Department of Mathematics, Northeastern University, Boston, USA

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  4. Paolo Stellari

    1. Università degli Studi di Milano, Milano, Italy

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  • 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

Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-vii
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  2. Perspectives on the Construction and Compactification of Moduli Spaces

    • Radu Laza
    Pages 1-39

  3. Compact Moduli Spaces of Surfaces and Exceptional Vector Bundles

    • Paul Hacking
    Pages 41-67

  4. Notes on the Moduli Space of Stable Quotients

    • Dragos Oprea
    Pages 69-135
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Keywords

About this book

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.

Authors, Editors and Affiliations

  • Università degli Studi di Milano, Milano, Italy

    Gilberto Bini, Paolo Stellari

  • Université Paris Diderot, Paris, France

    Martí Lahoz

  • Department of Mathematics, Northeastern University, Boston, USA

    Emanuele Macrí

  • Department of Mathematics, University of Massachusetts, Amherst, USA

    Paul Hacking

  • School of Mathematics, Institute for Advanced Study, Princeton, USA

    Radu Laza

  • Department of Mathematics, University of California, La Jolla, USA

    Dragos Oprea

Bibliographic Information

  • Book Title: Compactifying Moduli Spaces

  • Authors: Paul Hacking, Radu Laza, Dragos Oprea

  • Editors: Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari

  • Series Title: Advanced Courses in Mathematics - CRM Barcelona

  • DOI: https://doi.org/10.1007/978-3-0348-0921-4

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Basel 2016

  • Softcover ISBN: 978-3-0348-0920-7Published: 12 February 2016

  • eBook ISBN: 978-3-0348-0921-4Published: 04 February 2016

  • Series ISSN: 2297-0304

  • Series E-ISSN: 2297-0312

  • Edition Number: 1

  • Number of Pages: VII, 135

  • Number of Illustrations: 1 illustrations in colour

  • Topics: Algebraic Geometry

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