K-rings of smooth toric varieties via piecewise-exponential functions
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We describe an explicit presentation of the ring of integral piecewise-exponential functions on a unimodular fan as a quotient of the Stanley-Reisner ring of the fan. This gives rise to a presentation of K-rings of smooth toric varieties that is parallel to the well-known presentation of integral Chow rings as quotients of Stanley-Reisner rings.
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Forward citations
Cited by 2 Pith papers
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Grothendieck Weights on Permutohedral Varieties and Matroids
Grothendieck weights on permutohedral and matroidal fans are characterized by a K-balancing condition with an explicit ring product, yielding a matroid-only motivic Chern class for hyperplane arrangement complements i...
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Grothendieck Weights on Permutohedral Varieties and Matroids
Grothendieck weights on permutohedral varieties yield a motivic Chern class for hyperplane arrangement complements that depends only on the underlying matroid, enabling extension to abstract loopless matroids.
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