Authors:
Editors:
- 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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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
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Università degli Studi di Milano, Milano, Italy
Gilberto Bini, Paolo Stellari
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Université Paris Diderot, Paris, France
Martí Lahoz
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Department of Mathematics, Northeastern University, Boston, USA
Emanuele Macrí
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Department of Mathematics, University of Massachusetts, Amherst, USA
Paul Hacking
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School of Mathematics, Institute for Advanced Study, Princeton, USA
Radu Laza
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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