A. Gholampour

collaborators

3 papers

math.AG2026

Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces

Emilio Dominguez, Amin Gholampour

Given a 3-term perfect complex E over a quasi-projective variety X and a nonnegative integer r, we define two virtual cycles and their refinements supported over the r-th degenerac…

math.DG2025

Equivariant vector bundles over topological toric manifolds

Yong Cui, Amin Gholampour

We prove that every topological/smooth $\T=(\C^{*})^{n}$-equivariant vector bundle over a topological toric manifold of dimension $2 n$ is a topological/smooth Klyachko vector bundl…

math.AG2025

A virtual $PGL_{r}$ - $SL_{r}$ correspondence for projective surfaces

D. van Bree, A. Gholampour, Y. Jiang +1

For a smooth projective surface $X$ satisfying $H_{1} (X, Z) = 0$ and $w \in H^{2} (X, I^¼_{r})$ , we study deformation invariants of the pair $(X, w)$ . Choosing a Brauer-Severi variet…

Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces

Equivariant vector bundles over topological toric manifolds

A virtual PGLr​-SLr​ correspondence for projective surfaces

A virtual $PGL_{r}$ - $SL_{r}$ correspondence for projective surfaces