The Resource Regular sequences and resultants, Günter Scheja, Uwe Storch

Regular sequences and resultants, Günter Scheja, Uwe Storch

Label
Regular sequences and resultants
Title
Regular sequences and resultants
Statement of responsibility
Günter Scheja, Uwe Storch
Creator
Contributor
Subject
Language
eng
Summary
"This book presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical topic in commutative algebra and algebraic geometry, and has become of renewed importance in the context of applied and computational algebra. This book provides a valuable complement to sparse elimination theory in that it presents, in careful detail, the algebraic difficulties of working over general base rings, which is essential for many applications including arithmetic geometry. Necessary tools concerning monoids of weights, generic polynomials, and regular sequences are treated independently in the first part of the book. Supplements following each section provide extra details and insightful examples."--Jacket
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1932-
http://library.link/vocab/creatorName
Scheja, Günter
Index
index present
LC call number
QA192
LC item number
.S32 2001
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Storch, Uwe
Series statement
Research notes in mathematics
Series volume
v. 8
http://library.link/vocab/subjectName
  • Elimination
  • Projective spaces
  • Intersection theory (Mathematics)
  • Sequences (Mathematics)
  • Elimination
  • Intersection theory (Mathematics)
  • Projective spaces
  • Sequences (Mathematics)
  • Elimination
  • Folge (Mathematik)
  • Projektiver Raum
Label
Regular sequences and resultants, Günter Scheja, Uwe Storch
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 13
  • 4
  • Relations of Numerical Monoids
  • 23
  • 5
  • Splitting of Numerical Monoids
  • 36
  • II
  • Regular Sequences
  • 6
  • 1
  • Regular Sequences and Complete Intersections
  • 41
  • 7
  • Graded Complete Intersections
  • 53
  • 8
  • Generic Regular Sequences
  • 60
  • 9
  • Generic Structure of the Principal Component
  • Kronecker Extensions
  • 75
  • III
  • Elimination
  • 10
  • Basics of Elimination
  • 81
  • 11
  • Main Case for Generic Regular Sequences
  • 85
  • 12
  • 1
  • Main Case for Regular Sequences
  • 96
  • IV
  • Resultants
  • 13
  • Resultant Ideals
  • 105
  • 14
  • Resultant Divisors and Duality
  • 109
  • 2
  • 15
  • Resultants
  • 119
  • 16
  • Formulas on Resultants
  • 129
  • Modules and Kronecker Extensions
  • 6
  • 3
  • Numerical Monoids
Dimensions
24 cm.
Extent
viii, 142 pages
Isbn
9781568811512
Lccn
2001022483
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)46401634
  • (OCoLC)ocm46401634
Label
Regular sequences and resultants, Günter Scheja, Uwe Storch
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 13
  • 4
  • Relations of Numerical Monoids
  • 23
  • 5
  • Splitting of Numerical Monoids
  • 36
  • II
  • Regular Sequences
  • 6
  • 1
  • Regular Sequences and Complete Intersections
  • 41
  • 7
  • Graded Complete Intersections
  • 53
  • 8
  • Generic Regular Sequences
  • 60
  • 9
  • Generic Structure of the Principal Component
  • Kronecker Extensions
  • 75
  • III
  • Elimination
  • 10
  • Basics of Elimination
  • 81
  • 11
  • Main Case for Generic Regular Sequences
  • 85
  • 12
  • 1
  • Main Case for Regular Sequences
  • 96
  • IV
  • Resultants
  • 13
  • Resultant Ideals
  • 105
  • 14
  • Resultant Divisors and Duality
  • 109
  • 2
  • 15
  • Resultants
  • 119
  • 16
  • Formulas on Resultants
  • 129
  • Modules and Kronecker Extensions
  • 6
  • 3
  • Numerical Monoids
Dimensions
24 cm.
Extent
viii, 142 pages
Isbn
9781568811512
Lccn
2001022483
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)46401634
  • (OCoLC)ocm46401634

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