Residues of singular holomorphic distributions

  • Tatsuo Suwa

    Hokkaido University, Sapporo, Japan
Residues of singular holomorphic distributions cover

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Abstract

We present two types of residue theories for singular holomorphic distributions. The first one is for certain Chern polynomials of the normal sheaf of a distribution and the residues arise from the vanishing, by rank reason, of the relevant characteristic classes on the non-singular part. The second one is for certain Atiyah polynomials of vector bundles admitting an action of a distribution and the residues arise from the Bott type vanishing theorem on the non-singular part.