000 03612cam a22004815i 4500
001 10775600
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006 m d
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008 130523s2013 gw | s |||| 0|eng d
020 _a9783642391309 (Hbk)
_cUKP 52.99
024 7 _a10.1007/978-3-642-39131-6
_2doi
035 _a(WaSeSS)ssj0001176473
040 _dWaSeSS
_cIISERB
050 4 _aQA612-612.8
050 4 _aQA612-612.8QA564-609
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514.2 D362
_223
100 1 _aNemethi, Andras.
_eeditor.
_96491
210 1 0 _aDeformations of Surface Singularities
222 _aMathematics Collection
245 1 0 _aDeformations of Surface Singularities
_cedited by András Némethi, ágnes Szilárd.
260 _aNew York:
_bSpringer-Verleg,
_c2013
300 _a287p.
490 1 _aBolyai Society Mathematical Studies,
_x1217-4696 ;
_v23
505 0 _aAltmann, K. and Kastner, L.: Negative Deformations of Toric Singularities that are Smooth in Codimension Two -- Bhupal, M. and Stipsicz, A.I.: Smoothing of Singularities and Symplectic Topology -- Ilten, N.O.: Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans -- Némethi, A: Some Meeting Points of Singularity Theory and Low Dimensional Topology -- Stevens, J.: The Versal Deformation of Cyclic Quotient Singularities -- Stevens, J.: Computing Versal Deformations of Singularities with Hauser's Algorithm -- Van Straten, D.: Tree Singularities: Limits, Series and Stability.
506 _aLicense restrictions may limit access.
520 _aThe 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, important examples and connections to other areas of mathematics. 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. This also is supported by review articles providing some global picture and an abundance of examples. 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.
650 0 _aGeometry, Algebraic
_96492
650 0 _aGeometry, algebraic.
_96493
650 0 _aAlgebraic topology.
_96494
650 0 _aAlgebraic Geometry
_96508
650 1 4 _aMathematics.
_96492
700 1 _aSzilard, Agnes.
_eeditor.
_96497
773 0 _tSpringer eBooks
773 0 _tSpringerLink ebooks - Mathematics and Statistics (2013)
830 0 _aBolyai Society Mathematical Studies,
_v23
_96499
856 4 0 _uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio10775600
_zFull text available from SpringerLink ebooks - Mathematics and Statistics (2013)
910 _aVendor-generated brief record
942 _2ddc
_cBK
999 _c6852
_d6852