A virtual ${\mathrm{PGL}}_r$-${\mathrm{SL}}_r$ correspondence for projective surfaces

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

For a smooth projective surface $X$ satisfying $H_1(X,\mathbb{Z})=0$ and $w\in H^2(X,\hat{I}{¼}_r)$, we study deformation invariants of the pair $(X,w)$. Choosing a Brauer-Severi variet…