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The Resource Integral closure : Rees algebras, multiplicities, algorithms, Wolmer Vasconcelos

Integral closure : Rees algebras, multiplicities, algorithms, Wolmer Vasconcelos

Label
Integral closure : Rees algebras, multiplicities, algorithms
Title
Integral closure
Title remainder
Rees algebras, multiplicities, algorithms
Statement of responsibility
Wolmer Vasconcelos
Creator
Subject
Language
eng
Summary
"Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of solutions that arise under various processes and algorithms. It gives a comprehensive treatment of Rees algebras and multiplicity theory - while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur." "This book is intended for graduate students and researchers in the fields mentioned above. It contains, besides exercises aimed at giving insights, numerous research problems motivated by the developments reported."--Jacket
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Vasconcelos, Wolmer V
Dewey number
512/.44
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA251.3
LC item number
.V375 2005eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer monographs in mathematics,
http://library.link/vocab/subjectName
  • Integral closure
  • Fermeture intégrale
  • MATHEMATICS
  • Integral closure
  • Integral closure
  • Anéis e álgebras comutativos
  • Anéis e álgebras associativos
  • Módulos
Label
Integral closure : Rees algebras, multiplicities, algorithms, Wolmer Vasconcelos
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 497-512) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Numerical Invariants of a Rees Algebra -- Hilbert Functions and Multiplicities -- Depth and Cohomology of Rees Algebras -- Divisors of a Rees Algebra -- Koszul Homology -- Integral Closure of Algebras -- Integral Closure and Normalization of Ideals -- Integral Closure of Modules -- How To -- References -- Notation and Terminology -- Index
Control code
209870162
Dimensions
unknown
Extent
1 online resource (xii, 519 pages)
Form of item
online
Isbn
9783540265030
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b137713
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-25540-6
Publisher number
10945742
Specific material designation
remote
System control number
(OCoLC)209870162
Label
Integral closure : Rees algebras, multiplicities, algorithms, Wolmer Vasconcelos
Publication
Bibliography note
Includes bibliographical references (pages 497-512) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Numerical Invariants of a Rees Algebra -- Hilbert Functions and Multiplicities -- Depth and Cohomology of Rees Algebras -- Divisors of a Rees Algebra -- Koszul Homology -- Integral Closure of Algebras -- Integral Closure and Normalization of Ideals -- Integral Closure of Modules -- How To -- References -- Notation and Terminology -- Index
Control code
209870162
Dimensions
unknown
Extent
1 online resource (xii, 519 pages)
Form of item
online
Isbn
9783540265030
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b137713
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-25540-6
Publisher number
10945742
Specific material designation
remote
System control number
(OCoLC)209870162

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