Abstract:
In this paper are computed the Poincaré series of the highest local cohomology of the modules of regular forms on a nondegenerate quasihomogeneous singularity and the dimensions of the cohomology spaces of the bidual sheaves of holomorphic forms on a quasismooth complete intersection. Theorems are proved about the structure of the module of vector fields on a nondegenerate quasihomogeneous singularity and about whether the maximal modular stratum of a versal deformation of such a singularity is reduced.
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