%0 Journal Article
%T Some results on the generic vanishing of Koszul cohomology via deformation theory
%A Jie Wang
%J Mathematics
%D 2011
%I arXiv
%X We study the deformation-obstruction theory of Koszul cohomology groups of $g^r_d$'s on singular nodal curves. We compute the obstruction classes for Koszul cohomology classes on singular curves to deform to a smooth one. In the case the obstructions are nontrivial, we obtain some partial results for generic vanishing of Koszul cohomology groups.
%U http://arxiv.org/abs/1108.4714v4