1.

Record Nr.

UNISA996466487103316

Autore

Abhyankar Shreeram Shankar

Titolo

Weighted expansions for canonical desingularization / / Shreeram S. Abhyankar ; with foreword by U. Orbanz

Pubbl/distr/stampa

Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1982]

©1982

ISBN

3-540-38992-X

Edizione

[1st ed. 1982.]

Descrizione fisica

1 online resource (VII, 238 p.)

Collana

Lecture notes in mathematics ; ; 910

Disciplina

516.353

Soggetti

Geometry, Algebraic

Mappings (Mathematics)

Singularities (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

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.