03462nam 2200625 450 99646648710331620220911025902.03-540-38992-X10.1007/BFb0093060(CKB)1000000000437893(SSID)ssj0000327628(PQKBManifestationID)12116682(PQKBTitleCode)TC0000327628(PQKBWorkID)10301760(PQKB)10862932(DE-He213)978-3-540-38992-7(MiAaPQ)EBC5591164(Au-PeEL)EBL5591164(OCoLC)1066185505(MiAaPQ)EBC6842085(Au-PeEL)EBL6842085(PPN)155199978(EXLCZ)99100000000043789320220911d1982 uy 0engurnn|008mamaatxtccrWeighted expansions for canonical desingularization /Shreeram S. Abhyankar ; with foreword by U. Orbanz1st ed. 1982.Berlin ;Heidelberg ;New York :Springer-Verlag,[1982]©19821 online resource (VII, 238 p.) Lecture notes in mathematics ;910Includes index.3-540-11195-6 Notation -- 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.Lecture notes in mathematics (Springer-Verlag) ;910.Geometry, AlgebraicMappings (Mathematics)Singularities (Mathematics)Geometry, Algebraic.Mappings (Mathematics)Singularities (Mathematics)516.353Abhyankar Shreeram Shankar478853Orbanz Ulrich1945-MiAaPQMiAaPQMiAaPQBOOK996466487103316Weighted expansions for canonical desingularization918526UNISA