科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let X be a smooth projective variety, and let PB be a moduli space of stable parabolic bundles on X. For any flat family E(*) of parabolic bundles on X parametrized by a smooth scheme Y, and for any integer m, with 1 <= m <= dim X, we construct a closed differential form Omega = Omega(E*) on Y with values in H(m)(X, O(X)). By using the vector-valued differential form Omega we then prove that, for any i >= 0, the choice of a (nonzero) element sigma is an element of H(i)(X, Omega(i+m)(X)), determines, in a natural way, a closed differential m-form Omega(sigma) on the smooth locus of PB.
- 出版日期2010
