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003 DE-He213
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020 _a9789819738861
_9978-981-97-3886-1
024 7 _a10.1007/978-981-97-3886-1
_2doi
050 4 _aQA612-612.8
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBPD
_2thema
245 1 0 _aLefschetz Properties
_h[electronic resource] :
_bCurrent and New Directions /
_cedited by Uwe Nagel, Karim Adiprasito, Roberta Di Gennaro, Sara Faridi, Satoshi Murai.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aX, 225 p. 19 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer INdAM Series,
_x2281-5198 ;
_v59
505 0 _aSurvey 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 _aThe 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 _aAlgebraic topology.
650 1 4 _aAlgebraic Topology.
700 1 _aNagel, Uwe.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_983363
700 1 _aAdiprasito, Karim.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_983364
700 1 _aDi Gennaro, Roberta.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_983365
700 1 _aFaridi, Sara.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_983366
700 1 _aMurai, Satoshi.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_983367
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819738854
776 0 8 _iPrinted edition:
_z9789819738878
776 0 8 _iPrinted edition:
_z9789819738885
830 0 _aSpringer INdAM Series,
_x2281-5198 ;
_v59
_977740
856 4 0 _uhttps://doi.org/10.1007/978-981-97-3886-1
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c62943
_d62943