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The Lefschetz properties /

Harima, Tadahito.

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The Lefschetz properties /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Lefschetz properties // Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe.
other author:	Harima, Tadahito.
Published:	Heidelberg :Springer, : 2013,
Description:	xix, 250 p. :ill. ;24 cm.
Subject:	Geometry, Algebraic. -
ISBN:	9783642382055 (pbk.) :

The Lefschetz properties /
The Lefschetz properties /Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe. - Heidelberg :Springer,2013 - xix, 250 p. :ill. ;24 cm. - Lecture notes in mathematics,20800075-8434 ;. - Lecture notes in mathematics (Springer-Verlag) ;2002..

Includes bibliographical references (pages 239-246) and index.

Poset theory --

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.

ISBN: 9783642382055 (pbk.) :EUR44.99

LCCN: 2013942530Subjects--Topical Terms:

532048
Geometry, Algebraic.

LC Class. No.: QA251.3 / .H37 2013

The Lefschetz properties /
LDR:02190cam a2200277Ii 4500 001 1900927
003 OCoLC
005 20140220044528.0
008 140121s2013 gw a b 001 0 eng d
010 $a 2013942530
020 $a 9783642382055 (pbk.) : $c EUR44.99
020 $a 3642382053 (pbk.)
020 $a 9783642382062 (ebk.)
020 $a 3642382061 (ebk.)
035 $a AS-BW-103-02
040 $a BTCTA $b eng
050 # 4 $a QA251.3 $b .H37 2013
050 # 4 $a QA3 $b .L28 no.2080
090 $a QA251.3 $b L495 2013
245 1 0 $a The Lefschetz properties / $c Tadahito Harima, Toshiaki Maeno, Hideaki Morita, Yasuhide Numata, Akihito Wachi, Junzo Watanabe.
260 # $a Heidelberg : $b Springer, $c 2013
300 $a xix, 250 p. : $b ill. ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2080
504 $a Includes bibliographical references (pages 239-246) and index.
505 0 # $t Poset theory -- $t Basics on the theory of local rings -- $t Lefschetz properties -- $t Compete intersections with the SLP -- $t A generalization of Lefschetz elements -- $t k-Lefschetz properties -- $t Cohomology rings -- $t Invariant theory and Lefschetz property -- $t The strong Lefschetz property and the SchurWeyl duality.
520 # $a 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.
530 $a Also issued online.
650 # 0 $a Geometry, Algebraic. $3 532048
650 # 0 $a Artin rings. $3 668045
700 1 # $a Harima, Tadahito. $3 2024458
700 1 # $a Maeno, Toshiaki. $3 2024459
700 1 # $a Morita, Hideaki. $3 2024460
700 1 # $a Numata, Yasuhide. $3 2024461
700 1 # $a Wachi, Akihito. $3 2024462
700 1 # $a Watanabe, Junzo. $3 2024463
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985