Item Details

Regular Sequences and Resultants

Günter Scheja, Uwe Storch
Format
Book
Published
Natick, Mass. : A K Peters, c2001.
Language
English
Series
Research Notes in Mathematics
Research Notes in Mathematics (Boston, Mass.)
ISBN
1568811519
Contents
  • 1 Kronecker Extensions 1
  • 2 Modules and Kronecker Extensions 6
  • 3 Numerical Monoids 13
  • 4 Relations of Numerical Monoids 23
  • 5 Splitting of Numerical Monoids 36
  • II Regular Sequences
  • 6 Regular Sequences and Complete Intersections 41
  • 7 Graded Complete Intersections 53
  • 8 Generic Regular Sequences 60
  • 9 Generic Structure of the Principal Component 75
  • III Elimination
  • 10 Basics of Elimination 81
  • 11 Main Case for Generic Regular Sequences 85
  • 12 Main Case for Regular Sequences 96
  • IV Resultants
  • 13 Resultant Ideals 105
  • 14 Resultant Divisors and Duality 109
  • 15 Resultants 119
  • 16 Formulas on Resultants 129.
Description
viii, 142 p. : ill. ; 24 cm.
Notes
Includes bibliographical references (p. 137-139) and index.
Series Statement
Research notes in mathematics ; v. 8
Research notes in mathematics (Boston, Mass.) ; 8
Technical Details
  • Access in Virgo Classic

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    a| viii, 142 p. : b| ill. ; c| 24 cm.
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    a| Research notes in mathematics ; v| v. 8
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    a| Includes bibliographical references (p. 137-139) and index.
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    g| 1 t| Kronecker Extensions g| 1 -- g| 2 t| Modules and Kronecker Extensions g| 6 -- g| 3 t| Numerical Monoids g| 13 -- g| 4 t| Relations of Numerical Monoids g| 23 -- g| 5 t| Splitting of Numerical Monoids g| 36 -- g| II t| Regular Sequences -- g| 6 t| Regular Sequences and Complete Intersections g| 41 -- g| 7 t| Graded Complete Intersections g| 53 -- g| 8 t| Generic Regular Sequences g| 60 -- g| 9 t| Generic Structure of the Principal Component g| 75 -- g| III t| Elimination -- g| 10 t| Basics of Elimination g| 81 -- g| 11 t| Main Case for Generic Regular Sequences g| 85 -- g| 12 t| Main Case for Regular Sequences g| 96 -- g| IV t| Resultants -- g| 13 t| Resultant Ideals g| 105 -- g| 14 t| Resultant Divisors and Duality g| 109 -- g| 15 t| Resultants g| 119 -- g| 16 t| Formulas on Resultants g| 129.
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    a| Elimination.
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    a| Projective spaces.
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    a| Intersection theory (Mathematics)
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    a| Sequences (Mathematics)
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    a| Storch, Uwe.
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    a| Research notes in mathematics (Boston, Mass.) ; v| 8.
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