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Regular sequences and resultants / Günter Scheja, Uwe Storch.
Author
Scheja, Günter, 1932-
[Browse]
Format
Book
Language
English
Published/Created
Natick, Mass. : A K Peters, ©2001.
Description
1 online resource
Availability
Available Online
Taylor & Francis eBooks Complete
SCI-TECHnetBASE
Details
Subject(s)
Elimination
[Browse]
Projective spaces
[Browse]
Intersection theory (Mathematics)
[Browse]
Sequences (Mathematics)
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Related name
Storch, Uwe
[Browse]
Series
Research notes in mathematics (Boston, Mass.) ; 8.
[More in this series]
Research notes in mathematics ; v. 8
Summary note
This carefully prepared manuscript 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 it has become of renewed importance recently in the context of applied and computational algebra. This monograph provides a valuable complement to sparse elimination theory in that it presents in careful detail the algebraic difficulties from working over general base rings. This is essential for applications in arithmetic geometry and many other places. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples.
Bibliographic references
Includes bibliographical references and index.
Contents
1Kronecker Extensions1
2Modules and Kronecker Extensions6
3Numerical Monoids13
4Relations of Numerical Monoids23
5Splitting of Numerical Monoids36
IIRegular Sequences
6Regular Sequences and Complete Intersections41
7Graded Complete Intersections53
8Generic Regular Sequences60
9Generic Structure of the Principal Component75
IIIElimination
10Basics of Elimination81
11Main Case for Generic Regular Sequences85
12Main Case for Regular Sequences96
IVResultants
13Resultant Ideals105
14Resultant Divisors and Duality109
15Resultants119
16Formulas on Resultants129.
Show 16 more Contents items
ISBN
9781439863657 ((electronic bk.))
1439863652 ((electronic bk.))
OCLC
1029336949
Doi
10.1201/9781439863657
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Regular sequences and resultants / by Gunter Scheja and Uwe Storch.
id
99125215658806421