LEADER 03418nam  22006975  450 
001 996466588603316
005 20211103164418.0
010   $a3-540-36464-1
024 7 $a10.1007/b10723
035   $a(CKB)1000000000229462
035   $a(SSID)ssj0000322493
035   $a(PQKBManifestationID)12072434
035   $a(PQKBTitleCode)TC0000322493
035   $a(PQKBWorkID)10286968
035   $a(PQKB)10520752
035   $a(DE-He213)978-3-540-36464-1
035   $a(MiAaPQ)EBC6286397
035   $a(MiAaPQ)EBC5610695
035   $a(Au-PeEL)EBL5610695
035   $a(OCoLC)52371127
035   $a(PPN)155167138
035   $a(EXLCZ)991000000000229462
100   $a20121227d2003      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aDeformations of Singularities$b[electronic resource] /$fby Jan Stevens
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (X, 166 p.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1811
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-00560-9 
327   $aIntroduction -- Deformations of singularities -- Standard bases -- Infinitesimal deformations -- Example: the fat point of multiplicity four -- Deformations of algebras -- Formal deformation theory -- Deformations of compact manifolds -- How to solve the deformation equation -- Convergence for isolated singularities -- Quotient singularities -- The projection method -- Formats -- Smoothing components of curves -- Kollár's conjectures -- Cones over curves -- The versal deformation of hyperelliptic cones -- References -- Index.
330   $aThese notes deal with deformation theory of complex analytic singularities and related objects. The first part treats general theory. The central notion is that of versal deformation in several variants. The theory is developed both in an abstract way and in a concrete way suitable for computations. The second part deals with more specific problems, specially on curves and surfaces. Smoothings of singularities are the main concern. Examples are spread throughout the text.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1811
606   $aDifferential geometry
606   $aFunctions of complex variables
606   $aAlgebraic geometry
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
615  0$aDifferential geometry.
615  0$aFunctions of complex variables.
615  0$aAlgebraic geometry.
615 14$aDifferential Geometry.
615 24$aSeveral Complex Variables and Analytic Spaces.
615 24$aAlgebraic Geometry.
676   $a516.35
686   $a32S25$2msc
686   $a32S30$2msc
700   $aStevens$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut$067452
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466588603316
996   $aDeformations of singularities$9145368
997   $aUNISA