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Abstract:

Following Suwa, we study unfoldings of algebraic foliations and their relationship with families of foliations, making focus on those unfoldings related to trivial families. The results obtained in the study of unfoldings are then applied to obtain information on the structure of foliations on projective spaces. © 2016, Sociedade Brasileira de Matemática.

Registro:

Documento: Artículo
Título:Isotrivial Unfoldings and Structural Theorems for Foliations on Projective Spaces
Autor:Quallbrunn, F.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, Argentina
Palabras clave:Deformations; Foliations; Unfoldings
Año:2017
Volumen:48
Número:3
Página de inicio:335
Página de fin:345
DOI: http://dx.doi.org/10.1007/s00574-016-0024-6
Título revista:Bulletin of the Brazilian Mathematical Society
Título revista abreviado:Bull. Braz. Math. Soc.
ISSN:16787544
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_16787544_v48_n3_p335_Quallbrunn

Referencias:

  • Camacho, C., Neto, A.L., Sad, P., Foliations with algebraic limit sets (1992) Ann. Math., 136 (2), pp. 429-446
  • Cerveau, D., (1982) Mattéi, , J.F. Formes intégrables holomorphes singulières. Société Mathématique de France
  • Gómez-Mont, X., (1989) Unfoldings of holomorphic foliations. Publicacions Matemàtiques., 33 (3), pp. 501-515
  • Loray, F., Pereira, J.V., Singular foliations with trivial canonical class
  • Mattei, J.-F., Modules de feuilletages holomorphes singuliers: I équisingularité (1991) Inventiones mathematicae, 103 (1), pp. 297-325
  • Quallbrunn, F., Families of distributions and Pfaff systems under duality (2015) J. Singul., 11 (2015), pp. 164-189. , arXiv:1305.3817
  • Suwa, T., A theorem of versality for unfoldings of complex analytic foliation singularities (1981) Inventiones mathematicae, 65 (1), pp. 29-48
  • Suwa, T., Unfoldings of complex analytic foliations with singularities (1983) Jpn. J. Math. New Ser., 9 (1), pp. 181-206
  • Suwa, T., Structure of the singular set of a complex analytic foliation. Preprint series in mathematics, vol. 33 (1988) Hokkaido University
  • Suwa, T., Unfoldings of codimension one complex analytic foliation singularities. Preprint series in mathematics, vol. 173 (1992) Hokkaido University

Citas:

---------- APA ----------
(2017) . Isotrivial Unfoldings and Structural Theorems for Foliations on Projective Spaces. Bulletin of the Brazilian Mathematical Society, 48(3), 335-345.
http://dx.doi.org/10.1007/s00574-016-0024-6
---------- CHICAGO ----------
Quallbrunn, F. "Isotrivial Unfoldings and Structural Theorems for Foliations on Projective Spaces" . Bulletin of the Brazilian Mathematical Society 48, no. 3 (2017) : 335-345.
http://dx.doi.org/10.1007/s00574-016-0024-6
---------- MLA ----------
Quallbrunn, F. "Isotrivial Unfoldings and Structural Theorems for Foliations on Projective Spaces" . Bulletin of the Brazilian Mathematical Society, vol. 48, no. 3, 2017, pp. 335-345.
http://dx.doi.org/10.1007/s00574-016-0024-6
---------- VANCOUVER ----------
Quallbrunn, F. Isotrivial Unfoldings and Structural Theorems for Foliations on Projective Spaces. Bull. Braz. Math. Soc. 2017;48(3):335-345.
http://dx.doi.org/10.1007/s00574-016-0024-6