Kiumars Kaveh

collaborators

5 papers

math.AG2026

Moduli of toric principal bundles

Shaoyu Huang, Kiumars Kaveh

Let $G$ be a reductive algebraic group. A toric principal $G$ -bundle is a principal $G$ -bundle over a toric variety together with a torus action commuting with the $G$ -action. Exte…

math.AG2026

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…

math.AG2026

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…

math.AG2025

Vector-valued Laurent polynomial equations, toric vector bundles and matroids

Kiumars Kaveh, Askold Khovanskii, Hunter Spink

Let $L \subset C^{r} \otimes C [x_{1}^{\pm}, \dots, x_{n}^{\pm}]$ be a finite dimensional subspace of vector-valued Laurent polynomials invariant under the action of torus…

math.AG2025

Toric vector bundles over a discrete valuation ring and Bruhat-Tits buildings

Kiumars Kaveh, Christopher Manon, Boris Tsvelikhovskiy

We give a classification of rank $r$ torus equivariant vector bundles $E$ on a toric scheme $X$ over a discrete valuation ring $O$ , in terms of grade…