國立高雄大學圖資館 |

登入

回首頁

Lefschetz propertiescurrent and new directions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lefschetz propertiesedited by Uwe Nagel ...[et al.].
其他題名:	current and new directions /
其他作者:	Nagel, Uwe.
出版者:	Singapore :Springer Nature Singapore :2024.
面頁冊數:	x, 225 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Picard-Lefschetz theory.
電子資源:	https://doi.org/10.1007/978-981-97-3886-1
ISBN:	9789819738861$q(electronic bk.)

Lefschetz propertiescurrent 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$q(electronic bk.)

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

981098
Picard-Lefschetz theory.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Lefschetz propertiescurrent and new directions /
LDR:02192nmm a22003495a 4500 001 668169
003 DE-He213
005 20240831130237.0
006 m d
007 cr nn 008maaau
008 250107s2024 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 : $b Springer Nature Singapore : $b Imprint: Springer, $c 2024.
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 981098
650 1 4 $a Algebraic Topology. $3 273784
700 1 $a Nagel, Uwe. $3 981097
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer INdAM series ; $v v.6. $3 679907
856 4 0 $u https://doi.org/10.1007/978-981-97-3886-1
950 $a Mathematics and Statistics (SpringerNature-11649)