Singularities of logarithmic foliations
A logarithmic 1-form on ℂℙn can be written as ω = (Π0m Fj) ∑0m λi dFi/Fi = λ0F̂ 0dF0 +⋯+ λmF̂ mdFm with F̂i = (Π0 m Fj)/Fi for some homogeneous polynomials Fi of degree di and constants λi ∈ ℂ* such that ∑ λidi = 0. For general Fi, λi, the singularities of ω consist of a schematic union of the codim...
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todo:paper_0010437X_v142_n1_p131_Cukierman2023-10-03T14:09:03Z Singularities of logarithmic foliations Cukierman, F. Soares, M.G. Vainsencher, I. Characteristic classes Excess intersection Holomorphic foliations A logarithmic 1-form on ℂℙn can be written as ω = (Π0m Fj) ∑0m λi dFi/Fi = λ0F̂ 0dF0 +⋯+ λmF̂ mdFm with F̂i = (Π0 m Fj)/Fi for some homogeneous polynomials Fi of degree di and constants λi ∈ ℂ* such that ∑ λidi = 0. For general Fi, λi, the singularities of ω consist of a schematic union of the codimension 2 subvarieties Fi = Fj = 0 together with, possibly, finitely many isolated points. This is the case when all Fi are smooth and in general position. In this situation, we give a formula which prescribes the number of isolated singularities. © Foundation Compositio Mathematica 2006. Fil:Cukierman, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0010437X_v142_n1_p131_Cukierman |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Characteristic classes Excess intersection Holomorphic foliations |
| spellingShingle |
Characteristic classes Excess intersection Holomorphic foliations Cukierman, F. Soares, M.G. Vainsencher, I. Singularities of logarithmic foliations |
| topic_facet |
Characteristic classes Excess intersection Holomorphic foliations |
| description |
A logarithmic 1-form on ℂℙn can be written as ω = (Π0m Fj) ∑0m λi dFi/Fi = λ0F̂ 0dF0 +⋯+ λmF̂ mdFm with F̂i = (Π0 m Fj)/Fi for some homogeneous polynomials Fi of degree di and constants λi ∈ ℂ* such that ∑ λidi = 0. For general Fi, λi, the singularities of ω consist of a schematic union of the codimension 2 subvarieties Fi = Fj = 0 together with, possibly, finitely many isolated points. This is the case when all Fi are smooth and in general position. In this situation, we give a formula which prescribes the number of isolated singularities. © Foundation Compositio Mathematica 2006. |
| format |
JOUR |
| author |
Cukierman, F. Soares, M.G. Vainsencher, I. |
| author_facet |
Cukierman, F. Soares, M.G. Vainsencher, I. |
| author_sort |
Cukierman, F. |
| title |
Singularities of logarithmic foliations |
| title_short |
Singularities of logarithmic foliations |
| title_full |
Singularities of logarithmic foliations |
| title_fullStr |
Singularities of logarithmic foliations |
| title_full_unstemmed |
Singularities of logarithmic foliations |
| title_sort |
singularities of logarithmic foliations |
| url |
http://hdl.handle.net/20.500.12110/paper_0010437X_v142_n1_p131_Cukierman |
| work_keys_str_mv |
AT cukiermanf singularitiesoflogarithmicfoliations AT soaresmg singularitiesoflogarithmicfoliations AT vainsencheri singularitiesoflogarithmicfoliations |
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1807321908556857344 |