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Titlebook: Deformations of Surface Singularities; András Némethi,ágnes Szilárd Book 2013 Springer-Verlag Berlin Heidelberg 2013 algebraic geometry.lo

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书目名称Deformations of Surface Singularities
编辑András Némethi,ágnes Szilárd
视频video
概述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 geometr
丛书名称Bolyai Society Mathematical Studies
图书封面Titlebook: Deformations of Surface Singularities;  András Némethi,ágnes Szilárd Book 2013 Springer-Verlag Berlin Heidelberg 2013 algebraic geometry.lo
描述.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.  . .
出版日期Book 2013
关键词algebraic geometry; low dimensional topology; singularity theory
版次1
doihttps://doi.org/10.1007/978-3-642-39131-6
isbn_softcover978-3-662-52469-5
isbn_ebook978-3-642-39131-6Series ISSN 1217-4696 Series E-ISSN 2947-9460
issn_series 1217-4696
copyrightSpringer-Verlag Berlin Heidelberg 2013
The information of publication is updating

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Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans,We use Altmann’s toric fan description of P-resolutions [1] to formulate a new description of deformation theory invariants for two-dimensional cyclic quotient singularities. In particular, we show how to calculate the dimensions of the (reduced) versal base space components as well as Milnor numbers of smoothings over them.
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Some Meeting Points of Singularity Theory and Low Dimensional Topology,We review some basic facts which connect the deformation theory of normal surface singularities with the topology of their links. The presentation contains some explicit descriptions for certain families of singularities (cyclic quotients, sandwiched singularities).
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Negative Deformations of Toric Singularities that are Smooth in Codimension Two,ormation of the associated toric variety .(σ) that is built from the deformation parameters of multidegree ...The base space is (the germ of) an affine scheme M̅ that reflects certain possibilities of splitting . := σ [. = 1] into Minkowski summands.
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