Editors:
- Special collection of research and review articles on deformations of surface singularities
- Introduces material on the newly found relationship with the theory of Stein fillings and symplectic geometry
- Linking two main theories of mathematics: low dimensional topology and algebraic geometry
Part of the book series: Bolyai Society Mathematical Studies (BSMS, volume 23)
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Table of contents (7 chapters)
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Front Matter
About this book
The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples. The aim is to collect material that will help mathematicians already working or wishing to work in this area to deepen their insight and eliminate the technical barriers in this learning process. Additionally, we introduce some material which emphasizes the newly found relationship with the theory of Stein fillings and symplectic geometry. This links two main theories of mathematics: low dimensional topology and algebraic geometry.
The theory of normal surface singularities is a distinguished part of analytic or algebraic geometry with several important results, its own technical machinery, and several open problems. Recently several connections were established with low dimensional topology, symplectic geometry and theory of Stein fillings. This created an intense mathematical activity with spectacular bridges between the two areas. The theory of deformation of singularities is the key object in these connections.
Editors and Affiliations
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Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary
András Némethi, ágnes Szilárd
Bibliographic Information
Book Title: Deformations of Surface Singularities
Editors: András Némethi, ágnes Szilárd
Series Title: Bolyai Society Mathematical Studies
DOI: https://doi.org/10.1007/978-3-642-39131-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-642-39130-9Published: 06 September 2013
Softcover ISBN: 978-3-662-52469-5Published: 01 October 2016
eBook ISBN: 978-3-642-39131-6Published: 24 January 2014
Series ISSN: 1217-4696
Series E-ISSN: 2947-9460
Edition Number: 1
Number of Pages: VII, 280
Number of Illustrations: 23 b/w illustrations, 114 illustrations in colour
Topics: Algebraic Topology, Algebraic Geometry