Picard groups of the moduli spaces of semistable sheaves I

@inproceedings{Bhosle2003PicardGO,
  title={Picard groups of the moduli spaces of semistable sheaves I},
  author={Usha N. Bhosle},
  year={2003}
}
We compute the Picard group of the moduli space U ′ of semistable vector bundles of rankn and degreed on an irreducible nodal curve Y and show that U ′ is locally factorial. We determine the canonical line bundles of U ′ andU ′ L, the subvariety consisting of vector bundles with a fixed determinant. For ra nk 2, we compute the Picard group of other strata… CONTINUE READING