Mol, Rogério S. Polar classes associated with holomorphic distributions of tangent subspaces. (Classes polaires associées aux distributions holomorphes de sous-espaces tangents.) (French) Zbl 1120.32019 Bull. Braz. Math. Soc. (N.S.) 37, No. 1, 29-48 (2006). 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. Reviewer: Xianghong Gong (Madison) Cited in 7 Documents MSC: 32S65 Singularities of holomorphic vector fields and foliations 14M15 Grassmannians, Schubert varieties, flag manifolds Keywords:holomorphic foliations; polar classes; Schubert cycles; Chern-Mather classes; invariant varieties PDFBibTeX XMLCite \textit{R. S. Mol}, Bull. Braz. Math. Soc. (N.S.) 37, No. 1, 29--48 (2006; Zbl 1120.32019) Full Text: DOI