Coverart for item
The Resource The Lefschetz properties, Tadahito Harima [and others]

The Lefschetz properties, Tadahito Harima [and others]

Label
The Lefschetz properties
Title
The Lefschetz properties
Statement of responsibility
Tadahito Harima [and others]
Contributor
Subject
Language
eng
Summary
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically
Member of
Cataloging source
HNK
Dewey number
516.3/5
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA564
LC item number
.L435 2013eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Harima, Tadahito
Series statement
Lecture notes in mathematics,
Series volume
2080
http://library.link/vocab/subjectName
  • Geometry, Algebraic
  • Local rings
  • Artin rings
  • Géométrie algébrique
  • Anneaux locaux
  • Artin rings
  • Geometry, Algebraic
  • Local rings
  • Artinsche Algebra
  • Lefschetz-Fixpunktsatz
Label
The Lefschetz properties, Tadahito Harima [and others]
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 239-246) 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
  • The Strong Lefschetz Property and the Schur-Weyl Duality
  • Poset Theory
  • Basics on the Theory of Local Rings
  • Lefschetz Properties
  • Complete Intersections with the SLP
  • A Generalization of Lefschetz Elements
  • k-Lefschetz Properties
  • Cohomology Rings and the Strong Lefschetz Property
  • Invariant Theory and Lefschetz Properties
Control code
856979772
Dimensions
unknown
Extent
1 online resource (xix, 250 pages)
Form of item
online
Isbn
9783642382062
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-38206-2
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)856979772
Label
The Lefschetz properties, Tadahito Harima [and others]
Publication
Bibliography note
Includes bibliographical references (pages 239-246) 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
  • The Strong Lefschetz Property and the Schur-Weyl Duality
  • Poset Theory
  • Basics on the Theory of Local Rings
  • Lefschetz Properties
  • Complete Intersections with the SLP
  • A Generalization of Lefschetz Elements
  • k-Lefschetz Properties
  • Cohomology Rings and the Strong Lefschetz Property
  • Invariant Theory and Lefschetz Properties
Control code
856979772
Dimensions
unknown
Extent
1 online resource (xix, 250 pages)
Form of item
online
Isbn
9783642382062
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-38206-2
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)856979772

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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