INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783642382055 (pbk. : alk. paper)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52317
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The Lefschetz propertie
General Material Designation
[Book]
First Statement of Responsibility
/ Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Heidelberg :New York
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, [2013].
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xix, 250 pages , illustrations , 24 cm.
SERIES
Series Title
(Lecture notes in mathematics,0075-8434
Volume Designation
; 2080)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 239-246) and index.
CONTENTS NOTE
Text of Note
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.
Text of Note
Poset theory -- Basics on the theory of local rings -- Lefschetz properties -- Compete intersections with the SLP -- A generalization of Lefschetz elements -- k-Lefschetz properties -- Cohomology rings -- Invariant theory and Lefschetz property -- The strong Lefschetz property and the SchurWeyl duality.
SERIES
Title
Lecture notes in mathematics (Springer-Verlag) ;2080.0075-8434
TOPICAL NAME USED AS SUBJECT
Geometry, Algebraic
Artin rings
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Harima, Tadahito.
PERSONAL NAME - SECONDARY RESPONSIBILITY
Maeno, Toshiaki
Morita, Hideaki
Numata, Yasuhide
Wachi, Akihito
Watanabe, Junzo
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783642382055.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783642382055.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
