LEADER 03462nam 2200625 450 001 996466487103316 005 20220911025902.0 010 $a3-540-38992-X 024 7 $a10.1007/BFb0093060 035 $a(CKB)1000000000437893 035 $a(SSID)ssj0000327628 035 $a(PQKBManifestationID)12116682 035 $a(PQKBTitleCode)TC0000327628 035 $a(PQKBWorkID)10301760 035 $a(PQKB)10862932 035 $a(DE-He213)978-3-540-38992-7 035 $a(MiAaPQ)EBC5591164 035 $a(Au-PeEL)EBL5591164 035 $a(OCoLC)1066185505 035 $a(MiAaPQ)EBC6842085 035 $a(Au-PeEL)EBL6842085 035 $a(PPN)155199978 035 $a(EXLCZ)991000000000437893 100 $a20220911d1982 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aWeighted expansions for canonical desingularization /$fShreeram S. Abhyankar ; with foreword by U. Orbanz 205 $a1st ed. 1982. 210 1$aBerlin ;$aHeidelberg ;$aNew York :$cSpringer-Verlag,$d[1982] 210 4$dİ1982 215 $a1 online resource (VII, 238 p.) 225 1 $aLecture notes in mathematics ;$v910 300 $aIncludes index. 311 $a3-540-11195-6 327 $aNotation -- Semigroups -- Strings -- Semigroup strings with restrictions -- Ordered semigroup strings with restrictions -- Strings on rings -- Indeterminate strings -- Indeterminate strings with restrictions -- Restricted degree and order for indeterminate strings -- Indexing strings -- Nets -- Semigroup nets with restrictions -- Ordered semigroup nets with restrictions -- Nets on rings -- Indeterminate nets -- Indeterminate nets with restrictions -- Restricted degree and order for indeterminate nets -- Prechips -- Isobars for prechips and Premonic polynomials -- Substitutions -- Substitutions with restrictions -- Coordinate nets and Monic polynomials -- Graded ring of a ring at an ideal -- Graded ring of a ring -- Graded rings at strings and nets and the notions of separatedness and regularity for strings and nets -- Inner products and further notions of separatedness and regularity for strings -- Inner products and further notions of separatedness and regularity for nets -- Weighted isobars and weighted initial forms -- Initial forms for regular strings -- Initial forms for regular strings and nets -- Protochips and parachips -- N-support of an indexing string for 2?N?6 -- Prescales -- Derived prescales -- Supports of prescales -- Protoscales -- Inner products for protoscales -- Scales and isobars -- Properties of derived prescales -- Isobars for derived scales -- Isobars and initial forms for scales -- Initial forms for scales and regular nets -- Isobars for protochips -- Initial forms for protochips and monic polynomials. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v910. 606 $aGeometry, Algebraic 606 $aMappings (Mathematics) 606 $aSingularities (Mathematics) 615 0$aGeometry, Algebraic. 615 0$aMappings (Mathematics) 615 0$aSingularities (Mathematics) 676 $a516.353 700 $aAbhyankar$b Shreeram Shankar$0478853 702 $aOrbanz$b Ulrich$f1945- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466487103316 996 $aWeighted expansions for canonical desingularization$9918526 997 $aUNISA