國立虎尾科技大學 |

Lefschetz properties = current and new directions /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lefschetz properties/ edited by Uwe Nagel ...[et al.].
Reminder of title:	current and new directions /
other author:	Nagel, Uwe.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	x, 225 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Picard-Lefschetz theory. -
Online resource:	https://doi.org/10.1007/978-981-97-3886-1
ISBN:	9789819738861

Lefschetz properties = current and new directions /
Lefschetz propertiescurrent and new directions /[electronic resource] :edited by Uwe Nagel ...[et al.]. - Singapore :Springer Nature Singapore :2024. - x, 225 p. :ill. (some col.), digital ;24 cm. - Springer INdAM series,v. 592281-5198 ;. - Springer INdAM series ;v.6..

Survey articles about specific topics -- Jordan types and relation with WLP/SLP -- Unexpected objects, connections with Lefschetz properties and special sets of points -- Combinatorial aspects -- Working group on Perazzo hypersurfaces Hilbert functions, WLP, Jordan types.

The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as Coxeter groups or matroids. Furthermore, there are connections to other branches of mathematics, for example, commutative algebra, algebraic topology, and combinatorics. Important results in this area have been obtained by finding unexpected connections between apparently different topics. A conference in Cortona, Italy in September 2022 brought together researchers discussing recent developments and working on new problems related to the Lefschetz properties. The book will feature surveys on several aspects of the theory as well as articles on new results and open problems.

ISBN: 9789819738861

Standard No.: 10.1007/978-981-97-3886-1doiSubjects--Topical Terms:

1456877
Picard-Lefschetz theory.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Lefschetz properties = current and new directions /
LDR:02191nam a22003495a 4500 001 1135224
003 DE-He213
005 20240831130237.0
006 m d
007 cr nn 008maaau
008 241213s2024 si s 0 eng d
020 $a 9789819738861 $q (electronic bk.)
020 $a 9789819738854 $q (paper)
024 7 $a 10.1007/978-981-97-3886-1 $2 doi
035 $a 978-981-97-3886-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA564
072 7 $a PBPD $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBPD $2 thema
082 0 4 $a 516.35 $2 23
090 $a QA564 $b .L495 2024
245 0 0 $a Lefschetz properties $h [electronic resource] : $b current and new directions / $c edited by Uwe Nagel ...[et al.].
260 $a Singapore : $c 2024. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a x, 225 p. : $b ill. (some col.), digital ; $c 24 cm.
347 $a text file $b PDF $2 rda
490 1 $a Springer INdAM series, $x 2281-5198 ; $v v. 59
505 0 $a Survey articles about specific topics -- Jordan types and relation with WLP/SLP -- Unexpected objects, connections with Lefschetz properties and special sets of points -- Combinatorial aspects -- Working group on Perazzo hypersurfaces Hilbert functions, WLP, Jordan types.
520 $a The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as Coxeter groups or matroids. Furthermore, there are connections to other branches of mathematics, for example, commutative algebra, algebraic topology, and combinatorics. Important results in this area have been obtained by finding unexpected connections between apparently different topics. A conference in Cortona, Italy in September 2022 brought together researchers discussing recent developments and working on new problems related to the Lefschetz properties. The book will feature surveys on several aspects of the theory as well as articles on new results and open problems.
650 0 $a Picard-Lefschetz theory. $3 1456877
650 1 4 $a Algebraic Topology. $3 672209
700 1 $a Nagel, Uwe. $3 1456876
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Springer INdAM series ; $v v.6. $3 1025170
856 4 0 $u https://doi.org/10.1007/978-981-97-3886-1
950 $a Mathematics and Statistics (SpringerNature-11649)