Geodesic
Cohomology of a~quasihomogeneous complete intersection
Izvestiya. Mathematics , Tome 26 (1986) no. 3, pp. 437-477

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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. Bibliography: 47 titles. 
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     author = {A. G. Aleksandrov},
     title = {Cohomology of a~quasihomogeneous complete intersection},
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A. G. Aleksandrov. Cohomology of a~quasihomogeneous complete intersection. Izvestiya. Mathematics , Tome 26 (1986) no. 3, pp. 437-477. http://geodesic.mathdoc.fr/item/IM2_1986_26_3_a0/