Abhyankar, Shreeram Shankar.

Weighted expansions for canonical desingularization / Shreeram S. Abhyankar ; with foreword by U. Orbanz. - Berlin ; New York : Springer-Verlag, 1982. - 1 online resource (vii, 236 pages) - Lecture notes in mathematics, 910 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 910. .

Includes bibliographical references and index.

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.

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Electronic reproduction.
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HathiTrust Digital Library,
2010.


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9783540389927 354038992X


Geometry, Algebraic.
Mappings (Mathematics)
Singularities (Mathematics)
Singularités (Mathématiques)
Geometry, Algebraic.
Mappings (Mathematics)
Singularities (Mathematics)
Geometrische Singularität
Algebraische Geometrie
Géométrie algébrique.
Applications (Mathématiques)
Singularités (Mathématiques)


Electronic books.

QA3 QA564 / .L28 no. 910

516.35

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