2024-03-28T14:34:00Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690572022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Residue formulas for singular foliations defined by meromorphic functions on surfacesHonda, T.Suwa, T.410For singular foliations defined by meromorphic functions on comÂplex surfaces, we compute the Baum-Bott residues and describe the residue theorem. Applying these to the case of foliations arising from polynomials in two variables, we obtain various formulas including a generalization of a formula of Le and a "Milnor number formula" for a holomorphic map with non-reduced fibers.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69057info:doi/10.14943/83453https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69057/1/pre306.pdfHokkaido University Preprint Series in Mathematics3061191995-09-01engpublisher