Let X be a compact Kahler manifold and D be a simple normal crossing divisor. If D is the support of some effective q-ample divisor, we show H^i(X,ΩX^j(logD)) = 0, for i+j>n+q.
文摘Let X be a compact Kahler manifold and D be a simple normal crossing divisor. If D is the support of some effective q-ample divisor, we show H^i(X,ΩX^j(logD)) = 0, for i+j>n+q.