On the local structure of the Brill-Noether locus of locally free sheaves on a smooth variety

Donatella Iacono, Elena Martinengo

We study the functor ${\mathrm{Def}}_E^k$ of infinitesimal deformations of a locally free sheaf $E$ of ${\mathcal{O}}_X$-modules on a smooth variety $X$, such that at least $k$ i…