Bolyai Society Mathematical Studies

Deformations of Surface Singularities

Editors: Némethi, Andras, Szilárd, Agnes (Eds.)

  • .

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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. 

 

Table of contents (7 chapters)

  • Negative Deformations of Toric Singularities that are Smooth in Codimension Two

    Altmann, Klaus (et al.)

    Pages 13-55

  • Smoothings of Singularities and Symplectic Topology

    Bhupal, Mohan (et al.)

    Pages 57-97

  • Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans

    Ilten, Nathan Owen

    Pages 99-107

  • Some Meeting Points of Singularity Theory and Low Dimensional Topology

    Némethi, Andras

    Pages 109-162

  • The Versal Deformation of Cyclic Quotient Singularities

    Stevens, Jan

    Pages 163-201

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-642-39131-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-642-39130-9
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $109.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 10, 2016
  • ISBN 978-3-662-52469-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Deformations of Surface Singularities
Editors
  • Andras Némethi
  • Agnes Szilárd
Series Title
Bolyai Society Mathematical Studies
Series Volume
23
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-39131-6
DOI
10.1007/978-3-642-39131-6
Hardcover ISBN
978-3-642-39130-9
Softcover ISBN
978-3-662-52469-5
Series ISSN
1217-4696
Edition Number
1
Number of Pages
VII, 280
Number of Illustrations and Tables
23 b/w illustrations, 114 illustrations in colour
Topics