Ulrich bundles with $c_2(\mathcal{E}{)}^2=0$ and connectedness of Ulrich subvarieties

Valerio Buttinelli, Angelo Felice Lopez, Roberto Vacca

We give an almost complete classification of Ulrich bundles $\mathcal{E}$ with $c_2(\mathcal{E}{)}^2=0$ on a variety $X$ of dimension $n\ge 4$. Moreover, we show that there are strong…