57 citations · 259 across the 43 of their papers we have counts for
42 papers · 1 filter
Moduli of toric principal bundles
Shaoyu Huang, Kiumars Kaveh
Let be a reductive algebraic group. A toric principal -bundle is a principal -bundle over a toric variety together with a torus action commuting with the -action. Exte…
On Ehrhart theory for tropical vector bundles
Suhyon Chong, Kiumars Kaveh
The notion of a tropical vector bundle on a toric variety was recently introduced by Khan-Maclagan and Kaveh-Manon. In this paper, we study the Euler characteristic and rank of glo…
Note on Euler characteristic of a toric vector bundle
Suhyon Chong, Shaoyu Huang, Kiumars Kaveh
A convex chain is a finite integer linear combination of indicator functions of convex polytopes. Khovanskii-Pukhlikov extend the Ehrhart theory of convex lattice polytopes to the…
Vector-valued Laurent polynomial equations, toric vector bundles and matroids
Kiumars Kaveh, Askold Khovanskii, Hunter Spink
Let be a finite dimensional subspace of vector-valued Laurent polynomials invariant under the action of torus…
Equivariant vector bundles on complexity-one T-varieties and Bruhat-Tits buildings
Jyoti Dasgupta, Chandranandan Gangopadhyay, Kiumars Kaveh +1
We give a combinatorial classification of torus equivariant vector bundles on a (normal) projective T-variety of complexity-one. This extends the classification of equivariant line…
Tropical vector bundles and matroids
Kiumars Kaveh, Christopher Manon
We introduce a notion of tropical vector bundle on a tropical toric variety which is a tropical analogue of a torus equivariant vector bundle on a toric variety. Alternatively it c…