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math.AG2023
Toric arc schemes and -enumeration of lattice points
Dave Anderson, Aniket Shah
We introduce a natural weighted enumeration of lattice points in a polytope, and give a Brion-type formula for the corresponding generating function. The weighting has combinatoria…
math.AG2020
Minkowski weights and the Grothendieck group of a toric variety
Aniket Shah
For a fan , we introduce Grothendieck weights as a ring of functions from to that form a K-theoretic analogue of Minkowski weights and describe the operational…