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Polar classes associated with holomorphic distributions of tangent subspaces. (Classes polaires associées aux distributions holomorphes de sous-espaces tangents.) (French) Zbl 1120.32019

Author’s abstract: We define polar classes associated to a singular holomorphic distribution of tangent subspaces of a projective manifold. We prove that these polar classes can be calculated in terms of the Chern-Mather classes of the tangent sheaf of the distribution and reciprocally. We use their degrees to establish a bound for the degrees of some polar classes associated to an invariant variety.

MSC:

32S65 Singularities of holomorphic vector fields and foliations
14M15 Grassmannians, Schubert varieties, flag manifolds
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