Piecewise polynomials, Minkowski weights, and localization on toric varieties
49 citations recorded by the source corpus.
We use localization to describe the restriction map from equivariant Chow cohomology to ordinary Chow cohomology for complete toric varieties in terms of piecewise polynomial functions and Minkowski weights. We compute examples showing that this map is not surjective in general, and that its kernel is not always generated in degree one. We prove a localization formula for mixed volumes of lattice polytopes and, more generally, a Bott residue formula for toric vector bundles.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Pharmacology
View Paper: https://www.semanticscholar.org/paper/e201acb434002d5a784648ceec3dd8a34d71eeee
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Pharmacology
Citations in the corpus
- Tropical intersection theory from toric varieties (2009, background): “The equivalence of the two definitions of intersection theory follows from the identity (c1 ∪ c2) ∩ [X(∆)] = c1 ∩ (c2 ∩ [X(∆)]).”