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Weighted expansions for canonical desingularization

Author: Shreeram S Abhyankar; U Orbanz
Publisher: Berlin ; Heidelberg ; New York : Springer, 1982.
Series: Lecture notes in mathematics, vol. 910.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Document Type: Book
All Authors / Contributors: Shreeram S Abhyankar; U Orbanz
ISBN: 3540111956 9783540111955
OCLC Number: 438782544
Description: VII, 236 str. ; 24 cm.
Contents: 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.
Series Title: Lecture notes in mathematics, vol. 910.
Responsibility: Shreeram S. Abhyankar ; U. Orbanz.
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