@article{ASENS_1997_4_30_2_169_0,
author = {Sc\'ardua, B. Azevedo},
title = {Transversely affine and transversely projective holomorphic foliations},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {169--204},
publisher = {Elsevier},
volume = {Ser. 4, 30},
number = {2},
year = {1997},
doi = {10.1016/s0012-9593(97)89918-1},
mrnumber = {97k:32049},
zbl = {0889.32031},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/s0012-9593(97)89918-1/}
}
TY - JOUR AU - Scárdua, B. Azevedo TI - Transversely affine and transversely projective holomorphic foliations JO - Annales scientifiques de l'École Normale Supérieure PY - 1997 SP - 169 EP - 204 VL - 30 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(97)89918-1/ DO - 10.1016/s0012-9593(97)89918-1 LA - en ID - ASENS_1997_4_30_2_169_0 ER -
%0 Journal Article %A Scárdua, B. Azevedo %T Transversely affine and transversely projective holomorphic foliations %J Annales scientifiques de l'École Normale Supérieure %D 1997 %P 169-204 %V 30 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(97)89918-1/ %R 10.1016/s0012-9593(97)89918-1 %G en %F ASENS_1997_4_30_2_169_0
Scárdua, B. Azevedo. Transversely affine and transversely projective holomorphic foliations. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 2, pp. 169-204. doi : 10.1016/s0012-9593(97)89918-1. http://archive.numdam.org/articles/10.1016/s0012-9593(97)89918-1/
[1] , Sur les structures transversalement affines des feuilletages de codimension (Ann. Inst. Fourier, Grenoble 30, Vol. 1, 1980, pp. 1-29). | EuDML | Numdam | MR | Zbl
[2] Persistência de folheações definidas por formas logarítmicas ; Thesis, IMPA, 1990.
[3] , Deformations of holomorphic foliations ; preprint : CIMAT, Guanajuato, Mexico.
[4] , and , Topological invariants and equidesingularization for holomorphic vector fields (J. of Diff. Geometry, Vol. 20, n° 1, 1984, pp. 143-174). | MR | Zbl
[5] and , Invariant varieties through singularities of holomorphic vector fields (Ann. of Math. Vol. 115, 1982, pp. 579-595). | MR | Zbl
[6] , and , Foliations with algebraic limit sets (Ann. of Math. Vol. 136, 1992, pp. 429-446). | MR | Zbl
[7] and , The Topology of integrable differential forms near a singularity (Publ. Math. I.H.E.S., Vol. 55, 1982, pp. 5-35). | EuDML | Numdam | MR | Zbl
[8] , , and , On proximity and intersection inequalities for foliations on algebraic surfaces ; preprint Univ. Valladolid, Spain.
[9] , The Poincaré problem in the non-dicritical case (Ann. of Math. Vol. 140, 1994, pp. 289-294). | MR | Zbl
[10] and , Holomorphic foliations in CP(2) having an invariant algebraic curve (Ann. Inst. Fourier, t. 41, 1991, Fasc. 4, pp. 883-903). | Numdam | MR | Zbl
[11] and , Codimension-one foliations in CP(n) n ≥ 3 with Kupka components (Astérisque Vol. 222, 1994, pp. 93-132). | MR | Zbl
[12] and , Irreducible components of the space of holomorphic foliations of degree two in CP(n), n ≥ 3 ; preprint Univ. Rennes I, 1994 (to appear in Ann. of Math). | Zbl
[13] and , Formes intégrables holomorphes singulières (Astérisque, Vol. 97, 1982). | Numdam | MR | Zbl
[14] and , Groupes d'automorphismes de (C, 0) et équations différentielles ydy + ... = 0 (Bull. Soc. Math. France, Vol. 116, 1988, pp. 459-488). | Numdam | MR | Zbl
[15] and , Problèmes de modules pour les formes différentielles singulières dans le plan complexe (Com. Math. Helvetici Vol. 61, 1986, pp. 222-253). | MR | Zbl
[16] , Feuilletages holomorphes de codimension un sur les espaces homogènes complexes ; preprint, ENS, Lyon, 1995.
[17] , Feuilletages : Études Geométriques I, Université Louis Pasteur, Mai, 1985.
[18] and , Structural stability of foliations with a meromorphic first integral (Topology Vol. 30, 1991, pp. 315-334). | MR | Zbl
[19] and , Theory of Stein Spaces, Springer-Verlag.
[20] and , Analytic functions of several complex variables, Prentice Hall, Englewood Cliffs, NJ, 1965. | MR | Zbl
[21] , The singularities of integrable structurally stable Pfaffian forms (Proc. Nat. Acad. Sci. U.S.A., Vol. 52, 1964, pp. 1431-1432). | MR | Zbl
[22] , Algebraic solutions of polynomial differential equations and foliations in dimension two (Lect. Notes in Math. n° 1345, pp. 192-231). | MR | Zbl
[23] , Construction of singular holomorphic vector fields and foliations in dimension two (Journal of Diff. Geometry Vol. 26, 1987, pp. 1-31). | MR | Zbl
[24] and , Holonomie et intégrales premières (Ann. Ec. Norm. Sup. Vol. 13, 1980, pp. 469-523). | Numdam | MR | Zbl
[25] and , Classification analytique des équations différentielles non lineaires resonnants du premier ordre (Ann. Sc. Ec. Norm. Sup., Vol. 16, 1983, pp. 571-621). | Numdam | MR | Zbl
[26] , Structural stability of integrable differential forms, Geometry and Topology (M. do Carmo, J. Palis eds.), LNM, 1977, pp. 395-428). | MR | Zbl
[27] , Transversely affine and transversely projective foliations on complex projective spaces (Thesis, IMPA, 1994).
[28] , Reduction of singularities of the differential equation Ady = Bdx (Amer. J. of Math. Vol. 90, 1968, pp. 248-269). | MR | Zbl
[29] , Small deformations of global complete intersections (Bollettino della Unione Matematica Italiana, Vol. 12, 1975, pp. 138-146). | MR | Zbl
[30] , Techniques of Extension of Analytic Objects ; Marcel Dekker, N.Y., 1974. | MR | Zbl
Cité par Sources :
