On the connectedness of some degeneracy loci and of Ulrich subvarieties

Valerio Buttinelli, Angelo Felice Lopez, Roberto Vacca

We study connectedness of degeneracy loci $D_{r-k}(\ddot{I}†)$ of morphisms $\ddot{I}†:{\mathcal{O}}_X^{\oplus (r+1-k)}\to \mathcal{E}$, where $\mathcal{E}$ is a rank $r$ globally generated bundl…