03321nam a22005415i 4500 978-981-97-3886-1 DE-He213 20251030112926.0 cr nn 008mamaa 240831s2024 si | s |||| 0|eng d 9789819738861 978-981-97-3886-1 10.1007/978-981-97-3886-1 doi QA612-612.8 PBPD bicssc MAT038000 bisacsh PBPD thema Lefschetz Properties [electronic resource] : Current and New Directions / edited by Uwe Nagel, Karim Adiprasito, Roberta Di Gennaro, Sara Faridi, Satoshi Murai. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. X, 225 p. 19 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer INdAM Series, 2281-5198 ; 59 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. Algebraic topology. Algebraic Topology. Nagel, Uwe. editor. edt http://id.loc.gov/vocabulary/relators/edt 83363 Adiprasito, Karim. editor. edt http://id.loc.gov/vocabulary/relators/edt 83364 Di Gennaro, Roberta. editor. edt http://id.loc.gov/vocabulary/relators/edt 83365 Faridi, Sara. editor. edt http://id.loc.gov/vocabulary/relators/edt 83366 Murai, Satoshi. editor. edt http://id.loc.gov/vocabulary/relators/edt 83367 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819738854 Printed edition: 9789819738878 Printed edition: 9789819738885 Springer INdAM Series, 2281-5198 ; 59 77740 https://doi.org/10.1007/978-981-97-3886-1 ZDB-2-SMA ZDB-2-SXMS 62943 62943