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Weighted Expansions for Canonical Desingularization
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Weighted Expansions for Canonical Desingularization ([EBook] /) / by Shreeram S. Abhyankar.
Author
Abhyankar, Shreeram Shankar
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : , 1982.
Physical Details
VII, 238 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 910
ISBN
9783540389927
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0093060
Links to Related Works
Subject References:
Algebraic Geometry
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Mathematics
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Authors:
Abhyankar, Shreeram Shankar
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
516.35
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