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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
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
Palabras clave:Characteristic classes; Excess intersection; Holomorphic foliations
Año:2006
Volumen:142
Número:1
Página de inicio:131
Página de fin:142
DOI: http://dx.doi.org/10.1112/S0010437X05001545
Título revista:Compositio Mathematica
Título revista abreviado:Compos. Math.
ISSN:0010437X
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

Referencias:

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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