Description 
1 online resource 
Series 
Bolyai Society Mathematical Studies, 12174696 ; 23 

Bolyai Society mathematical studies ; 23. 12174696

Contents 
Negative Deformations of Toric Singularities that are Smooth in Codimension Two / Klaus Altmann and Lars Kastner  Smoothings of Singularities and Symplectic Topology / Mohan Bhupal and András I. Stipsicz  Calculating Milnor Numbers and Versal Component Dimensions from PResolution Fans / Nathan Owen Ilten  Some Meeting Points of Singularity Theory and Low Dimensional Topology / Andras Némethi  The Versal Deformation of Cyclic Quotient Singularities / Jan Stevens  Computing Versal Deformations of Singularities with Hauser's Algorithm / Jan Stevens  Tree Singularities: Limits, Series and Stability / Duco Van Straten 
Summary 
Annotation 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 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Singularities (Mathematics)


Topology.

Form 
Electronic book

Author 
Némethi, András, editor


Szilárd, Ágnes, editor

ISBN 
3642391303 (print) 

3642391311 (electronic bk.) 

9783642391309 (print) 

9783642391316 (electronic bk.) 
