000 03534nam a22004695i 4500
001 978-3-642-39131-6
003 DE-He213
005 20140220082914.0
007 cr nn 008mamaa
008 140124s2013 gw | s |||| 0|eng d
020 _a9783642391316
_9978-3-642-39131-6
024 7 _a10.1007/978-3-642-39131-6
_2doi
050 4 _aQA612-612.8
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514.2
_223
100 1 _aNémethi, András.
_eeditor.
245 1 0 _aDeformations of Surface Singularities
_h[electronic resource] /
_cedited by András Némethi, ágnes Szilárd.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _a287 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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.
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 _aMathematics.
650 0 _aGeometry, algebraic.
650 0 _aAlgebraic topology.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Topology.
650 2 4 _aAlgebraic Geometry.
700 1 _aSzilárd, ágnes.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642391309
830 0 _aBolyai Society Mathematical Studies,
_x1217-4696 ;
_v23
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-39131-6
912 _aZDB-2-SMA
999 _c98395
_d98395