The Chow cohomology of affine toric varieties
نویسندگان
چکیده
منابع مشابه
Equivariant Chow cohomology of toric varieties
We show that the equivariant Chow cohomology ring of a toric variety is naturally isomorphic to the ring of integral piecewise polynomial functions on the associated fan. This gives a large class of singular spaces for which localization holds in equivariant Chow cohomology with integer coefficients. We also compute the equivariant Chow cohomology of toric prevarieties and general complex hyper...
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Abstract. For a toric variety XΣ determined by a polyhedral fan Σ ⊆ N , Payne shows that the equivariant Chow cohomology is the Sym(N)–algebra C(Σ) of integral piecewise polynomial functions on Σ. We use the CartanEilenberg spectral sequence to analyze the associated reflexive sheaf C(Σ) on PQ(N), showing that the Chern classes depend on subtle geometry of Σ and giving criteria for the splittin...
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1 f-vector for convex polytopes Given a convex polytope P of full dimension in R, we can consider the f-vector, fk = number of k-faces, 0 ≤ k ≤ d− 1. A natural question is Question 1. Given an abstract tuple f of d integers, what are necessary and sufficient conditions for f to be the f-vector of a convex polytope? It turns out to be quite difficult to give sufficient conditions, so let’s deter...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2020
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2020.v27.n6.a3