Convex polytopes and linear algebra

dc.creatorFine, Jonathan
dc.date1997-10-01
dc.date.accessioned2026-07-25T10:53:56Z
dc.descriptionThis paper defines, for each convex polytope $Δ$, a family $H_wΔ$ of vector spaces. The definition uses a combination of linear algebra and combinatorics. When what is called exact calculation holds, the dimension $h_wΔ$ of $H_wΔ$ is a linear function of the flag vector $fΔ$. It is expected that the $H_wΔ$ are examples, for toric varieties, of the new topological invariants introduced by the author in "Local-global intersection homolog" (preprint alg-geom/9709011).
dc.descriptionLaTeX2e. 14 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9710001
dc.identifierhttp://arxiv.org/abs/alg-geom/9710001
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/174
dc.subjectAlgebraic Geometry
dc.subject52B05, 15A69, 14M25, 55N33
dc.titleConvex polytopes and linear algebra
dc.typetext

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