Residues of Holomorphic Foliations Relative to a General Submanifold Export

@article{citeulike:4172993, abstract = {Let F be a holomorphic foliation (possibly with singularities) on a non-singular manifold M, and let V be a complex analytic subset of M. Usual residue theorems along V in the theory of complex foliations require that V be tangent to the foliation (that is, a union of leaves and singular points of V and F); this is the case for instance for the blow-up of a non-dicritical isolated singularity. In this paper, residue theorems are introduced along subvarieties that are not necessarily tangent to the foliation, including the blow-up of the dicritical situation. 2000 Mathematics Subject Classification 53C12, 57R20, 55N15. 10.1112/S0024609305004339}, author = {Camacho, Cesar and Lehmann, Daniel}, citeulike-article-id = {4172993}, citeulike-linkout-0 = {http://dx.doi.org/10.1112/S0024609305004339}, citeulike-linkout-1 = {http://blms.oxfordjournals.org/cgi/content/abstract/37/3/435}, day = {1}, doi = {10.1112/S0024609305004339}, journal = {Bull. London Math. Soc.}, keywords = {foliations, transversal}, month = {June}, number = {3}, pages = {435--445}, posted-at = {2009-03-14 05:57:22}, priority = {5}, title = {Residues of Holomorphic Foliations Relative to a General Submanifold}, url = {http://dx.doi.org/10.1112/S0024609305004339}, volume = {37}, year = {2005} }

TY - JOUR ID - citeulike:4172993 L3 - citeulike-article-id:4172993 N2 - Let F be a holomorphic foliation (possibly with singularities) on a non-singular manifold M, and let V be a complex analytic subset of M. Usual residue theorems along V in the theory of complex foliations require that V be tangent to the foliation (that is, a union of leaves and singular points of V and F); this is the case for instance for the blow-up of a non-dicritical isolated singularity. In this paper, residue theorems are introduced along subvarieties that are not necessarily tangent to the foliation, including the blow-up of the dicritical situation. 2000 Mathematics Subject Classification 53C12, 57R20, 55N15. 10.1112/S0024609305004339 IS - 3 JF - Bull. London Math. Soc. EP - 445 TI - Residues of Holomorphic Foliations Relative to a General Submanifold VL - 37 SP - 435 KW - foliations KW - transversal AU - Camacho, Cesar AU - Lehmann, Daniel PY - 2005/06/01/ UR - http://dx.doi.org/10.1112/S0024609305004339 ER -