Lefschetz Properties and Basic Constructions on Simplicial Spheres

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dc.creatorBabson, Eric
dc.creatorNevo, Eran
dc.date2008-02-07
dc.date.accessioned2026-07-07T09:19:19Z
dc.date.available2026-07-07T09:19:19Z
dc.descriptionThe well known $g$-conjecture for homology spheres follows from the stronger conjecture that the face ring over the reals of a homology sphere, modulo a linear system of parameters, admits the strong-Lefschetz property. We prove that the strong-Lefschetz property is preserved under the following constructions on homology spheres: join, connected sum, and stellar subdivisions. The last construction is a step towards proving the $g$-conjecture for piecewise-linear spheres.
dc.description18 pages, no figures
dc.identifierhttps://arxiv.org/abs/0802.1058
dc.identifierhttp://arxiv.org/abs/0802.1058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154347
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject13F55
dc.titleLefschetz Properties and Basic Constructions on Simplicial Spheres
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