抄録
We construct the moduli space of pairs consisting of a vector bundle together with a vector space of global sections on a fixed algebraic curve over an algebraically closed field of characteristic zero. The infinitesimal deformations of such a pair are shown to be parametrized by the first hypercohomology of a natural complex of sheaves of vector spaces on the base curve. We then apply these results to obtain desingularizations of theta divisors in moduli spaces of semistable vector bundles.
