A. Gholampour

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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.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

A virtual PGLr​-SLr​ correspondence for projective surfaces

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