Weighted expansions for canonical desingularization

Author(s)

• Abhyankar, Shreeram Shankar

Bibliographic Information

Weighted expansions for canonical desingularization

Shreeram S. Abhyankar ; with foreword by U. Orbanz

（Lecture notes in mathematics, 910）

Springer-Verlag, 1982

• : Berlin
• : New York

Note

Includes indexes

Description and Table of Contents

Table of 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.

by "Nielsen BookData"

Details

• NCID: BA00699847
• ISBN:
  • 3540111956
  • 0387111956
• LCCN: 82149664
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: vii, 236 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA564
  • DC19 : 510 s
  • DC19 : 516.3/53
  • NDC8 : 411.8
• Subject Headings:
  • LCSH : Geometry, Algebraic
  • LCSH : Mappings (Mathematics)
  • LCSH : Singularities (Mathematics)
  • NDLSH : 代数幾何学
• Parent Bibliography ID:
  • BA00146586