Suwa, Tatsuo Residues of singular holomorphic distributions. (English) Zbl 1317.32065 Blanlœil, Vincent (ed.) et al., Singularities in geometry and topology, Strasbourg 2009. Proceedings of the 5th Franco-Japanese symposium on singularities, Strasbourg, France, August 24–28, 2009. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-118-7/pbk). IRMA Lectures in Mathematics and Theoretical Physics 20, 207-247 (2012). Summary: 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.For the entire collection see [Zbl 1255.14001]. Cited in 3 Documents MSC: 32S65 Singularities of holomorphic vector fields and foliations 58A30 Vector distributions (subbundles of the tangent bundles) 32A27 Residues for several complex variables Keywords:singular distributions; localization of characteristic classes; Chern residues; Atiyah residues; Riemann-Roch theorem for embeddings PDFBibTeX XMLCite \textit{T. Suwa}, IRMA Lect. Math. Theor. Phys. 20, 207--247 (2012; Zbl 1317.32065) Full Text: DOI