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Abstract:

We show that the set of singular holomorphic foliations on projective spaces with split tangent sheaf and good singular set is open in the space of holomorphic foliations. We also give a cohomological criterion for the rigidity of holomorphic foliations induced by group actions and prove the existence of rigid codimension one foliations of degree n - 1 on ℙn for every n ≥ 3. © 2008 by The Johns Hopkins University Press.

Registro:

Documento: Artículo
Título:Stability of holomorphic foliations with split tangent sheaf
Autor:Cukierman, F.; Pereira, J.V.
Filiación:Univ. de Buenos Aires, Dto. Matemática, Ciudad Universitaria, (1428) Buenos Aires, Argentina
IMPA, Estrada Dona Castorina, 110, 22460-320 Jardim Botânico, Rio De Janeiro, Brazil
Año:2008
Volumen:130
Número:2
Página de inicio:413
Página de fin:439
DOI: http://dx.doi.org/10.1353/ajm.2008.0011
Título revista:American Journal of Mathematics
Título revista abreviado:Am. J. Math.
ISSN:00029327
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029327_v130_n2_p413_Cukierman

Referencias:

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Citas:

---------- APA ----------
Cukierman, F. & Pereira, J.V. (2008) . Stability of holomorphic foliations with split tangent sheaf. American Journal of Mathematics, 130(2), 413-439.
http://dx.doi.org/10.1353/ajm.2008.0011
---------- CHICAGO ----------
Cukierman, F., Pereira, J.V. "Stability of holomorphic foliations with split tangent sheaf" . American Journal of Mathematics 130, no. 2 (2008) : 413-439.
http://dx.doi.org/10.1353/ajm.2008.0011
---------- MLA ----------
Cukierman, F., Pereira, J.V. "Stability of holomorphic foliations with split tangent sheaf" . American Journal of Mathematics, vol. 130, no. 2, 2008, pp. 413-439.
http://dx.doi.org/10.1353/ajm.2008.0011
---------- VANCOUVER ----------
Cukierman, F., Pereira, J.V. Stability of holomorphic foliations with split tangent sheaf. Am. J. Math. 2008;130(2):413-439.
http://dx.doi.org/10.1353/ajm.2008.0011