Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Singularities of logarithmic foliations |
Autor: | Cukierman, F.; Soares, M.G.; Vainsencher, I. |
Filiación: | Departamento Matematica, FCEyN UBA, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina Departamento Matemática, UFMG, Avenida Antônio Carlos 6627, 31270-901 Belo Horizonte, Brazil
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Palabras clave: | Characteristic classes; Excess intersection; Holomorphic foliations |
Año: | 2006
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Volumen: | 142
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Número: | 1
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Página de inicio: | 131
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Página de fin: | 142
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DOI: |
http://dx.doi.org/10.1112/S0010437X05001545 |
Título revista: | Compositio Mathematica
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Título revista abreviado: | Compos. Math.
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ISSN: | 0010437X
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PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0010437X_v142_n1_p131_Cukierman.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0010437X_v142_n1_p131_Cukierman |
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Citas:
---------- APA ----------
Cukierman, F., Soares, M.G. & Vainsencher, I.
(2006)
. Singularities of logarithmic foliations. Compositio Mathematica, 142(1), 131-142.
http://dx.doi.org/10.1112/S0010437X05001545---------- CHICAGO ----------
Cukierman, F., Soares, M.G., Vainsencher, I.
"Singularities of logarithmic foliations"
. Compositio Mathematica 142, no. 1
(2006) : 131-142.
http://dx.doi.org/10.1112/S0010437X05001545---------- MLA ----------
Cukierman, F., Soares, M.G., Vainsencher, I.
"Singularities of logarithmic foliations"
. Compositio Mathematica, vol. 142, no. 1, 2006, pp. 131-142.
http://dx.doi.org/10.1112/S0010437X05001545---------- VANCOUVER ----------
Cukierman, F., Soares, M.G., Vainsencher, I. Singularities of logarithmic foliations. Compos. Math. 2006;142(1):131-142.
http://dx.doi.org/10.1112/S0010437X05001545