LEADER 05261nam 22015015 450 001 9910154751503321 005 20190708092533.0 010 $a1-4008-8174-9 024 7 $a10.1515/9781400881741 035 $a(CKB)3710000000620160 035 $a(SSID)ssj0001651304 035 $a(PQKBManifestationID)16425921 035 $a(PQKBTitleCode)TC0001651304 035 $a(PQKBWorkID)13103104 035 $a(PQKB)10677234 035 $a(MiAaPQ)EBC4738572 035 $a(DE-B1597)467978 035 $a(OCoLC)979968792 035 $a(DE-B1597)9781400881741 035 $a(EXLCZ)993710000000620160 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNormal Two-Dimensional Singularities. (AM-71), Volume 71 /$fHenry B. Laufer 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1972 215 $a1 online resource (177 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v275 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-691-08100-X 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPREFACE -- $tINTRODUCTION -- $tCONTENTS -- $tCHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES -- $tCHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES -- $tCHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES -- $tCHAPTER IV. EXCEPTIONAL SETS -- $tCHAPTER V. MINIMAL RESOLUTIONS -- $tCHAPTER VI. EQUIVALENCE OF EMBEDDINGS -- $tCHAPTER VII. THE LOCAL RING STRUCTURE -- $tBIBLIOGRAPHY -- $tINDEX 330 $aA survey, thorough and timely, of the singularities of two-dimensional normal complex analytic varieties, the volume summarizes the results obtained since Hirzebruch's thesis (1953) and presents new contributions. First, the singularity is resolved and shown to be classified by its resolution; then, resolutions are classed by the use of spaces with nilpotents; finally, the spaces with nilpotents are determined by means of the local ring structure of the singularity. 410 0$aAnnals of mathematics studies ;$vNumber 71. 606 $aAnalytic spaces 606 $aSingularities (Mathematics) 610 $aAnalytic function. 610 $aAnalytic set. 610 $aAnalytic space. 610 $aAutomorphism. 610 $aBernhard Riemann. 610 $aBig O notation. 610 $aCalculation. 610 $aChern class. 610 $aCodimension. 610 $aCoefficient. 610 $aCohomology. 610 $aCompact Riemann surface. 610 $aComplex manifold. 610 $aComputation. 610 $aConnected component (graph theory). 610 $aContinuous function. 610 $aContradiction. 610 $aCoordinate system. 610 $aCorollary. 610 $aCovering space. 610 $aDimension. 610 $aDisjoint union. 610 $aDivisor. 610 $aDual graph. 610 $aElliptic curve. 610 $aElliptic function. 610 $aEmbedding. 610 $aExistential quantification. 610 $aFactorization. 610 $aFiber bundle. 610 $aFinite set. 610 $aFormal power series. 610 $aHausdorff space. 610 $aHolomorphic function. 610 $aHomeomorphism. 610 $aHomology (mathematics). 610 $aIntersection (set theory). 610 $aIntersection number (graph theory). 610 $aInverse limit. 610 $aIrreducible component. 610 $aIsolated singularity. 610 $aIteration. 610 $aLattice (group). 610 $aLine bundle. 610 $aLinear combination. 610 $aLine?line intersection. 610 $aLocal coordinates. 610 $aLocal ring. 610 $aMathematical induction. 610 $aMaximal ideal. 610 $aMeromorphic function. 610 $aMonic polynomial. 610 $aNilpotent. 610 $aNormal bundle. 610 $aOpen set. 610 $aParameter. 610 $aPlane curve. 610 $aPole (complex analysis). 610 $aPower series. 610 $aPresheaf (category theory). 610 $aProjective line. 610 $aQuadratic transformation. 610 $aQuantity. 610 $aRiemann surface. 610 $aRiemann?Roch theorem. 610 $aSeveral complex variables. 610 $aSubmanifold. 610 $aSubset. 610 $aTangent bundle. 610 $aTangent space. 610 $aTensor algebra. 610 $aTheorem. 610 $aTopological space. 610 $aTransition function. 610 $aTwo-dimensional space. 610 $aVariable (mathematics). 610 $aZero divisor. 610 $aZero of a function. 610 $aZero set. 615 0$aAnalytic spaces. 615 0$aSingularities (Mathematics) 676 $a515/.92/23 700 $aLaufer$b Henry B., $048505 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154751503321 996 $aNormal Two-Dimensional Singularities. (AM-71), Volume 71$92788799 997 $aUNINA