Preprint series: 96-19, Reports on Algebra and Geometry

MSC:

14F17 Vanishing theorems, See also {32L20}

55N30 Sheaf cohomology, See also {18F20, 32C35, 32L10}

Abstract: For any sheaf $\Omega^T$ of germs of T ­symmetrical tensor forms on a projective manifold Y there exist a Young tableau T* and an integer p such that $O_{Y(p)}$(x)$\Omega^{T*}$ is dual to $\Omega^T$ . As an application a Lefschetz­type­theorem and some vanishing theorems for the cohomology groups of complete intersections are dualized.

Upload: 1996