Weighted Expansions for Canonical Desingularization

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Detalles Bibliográficos
Autor Principal: Abhyankar, Shreeram Shankar, 1930-2012
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 910
Sujets:
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Weighted expansions for canonical desingularization, Shreeram S. Abhyankar, 1982, Berlin, Springer, 1 vol. (VII-236 p.), Lecture notes in mathematics, 3-540-11195-6
• Weighted Expansions for Canonical Desingularization, Texte imprimé, 9783662211885
Table des matières:
  • 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.