A. Andreotti, Théorèmes de dépendance algébrique sur les espaces complexes pseudoconcaves, Bull. Soc. Math. France, vol.91, pp.1-38, 1963.
DOI : 10.1007/bfb0068101

V. I. Arnol and ?. , Geometrical methods in the theory of ordinary differential equations. Translated from the Russian by Joseph Szücs, Fundamental Principles of Mathematical Science], vol.250, pp.0-387, 1983.

E. A. Bartolo, J. I. Cogolludo-agustin, and D. Matei, Characteristic varieties of quasi-projective manifolds and orbifolds, Geometry & Topology, vol.67, issue.1, pp.273-309, 2013.
DOI : 10.2307/2371416

A. Beauville, Annulation du H1 pour les fibr??s en droites plats, Lecture Notes in Math, vol.65, pp.1-15, 1992.
DOI : 10.1007/BF02566608

A. Brudnyi, Solvable matrix representations of K??hler groups, Differential Geometry and its Applications, vol.19, issue.2, pp.167-191, 2003.
DOI : 10.1016/S0926-2245(03)00018-4

M. Brunella, Birational geometry of foliations, Monografías de Matemática. Instituto de Matemática Pura e Aplicada (IMPA), 2000.
DOI : 10.1007/978-3-319-14310-1

M. Brunella and C. , Perrone Exceptional singularities of codimension one holomorphic foliations Publ, Mat, vol.55, pp.295-312, 2011.

M. Brunella, On Kähler surfaces with semipositive Ricci curvature Riv, Mat. Univ. Parma, vol.1, pp.441-450, 2010.

F. Campana, Quotients r??solubles des groupes de K??hler et ensembles de Green???Lazarsfeld, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.329, issue.6, pp.513-516, 1999.
DOI : 10.1016/S0764-4442(00)80052-X

A. Geom, , pp.599-622, 2001.

F. Cano, D. Cerveau, and J. , Déserti Théorie élémentaires des feuilletages holomorphes singuliers, 2013.

G. Casale, Suites de Godbillon???Vey et int??grales premi??res, Comptes Rendus Mathematique, vol.335, issue.12, pp.1003-1006, 2002.
DOI : 10.1016/S1631-073X(02)02619-5

F. Catanese, Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, Inventiones mathematicae, vol.31, issue.3, pp.263-289, 1991.
DOI : 10.1007/BF01161932

D. Cerveau, A. Lins-neto, F. Loray, J. V. Pereira, and F. Touzet, Complex codimension one singular foliations and Godbillon-Vey sequences, Mosc. Math. J, vol.7, issue.166, pp.21-54, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00002095

D. Cerveau and J. Mattei, Formes intégrables holomorphes singulières, 0193.

D. Cerveau and R. Moussu, Groupes d'automorphismes de $({\bbfC},0)$ et ??quations diff??rentielles $ydy+\cdots =0$, Bulletin de la Société mathématique de France, vol.116, issue.4, pp.459-488, 1988.
DOI : 10.24033/bsmf.2108

G. Cousin and J. V. Pereira, Transversely affine foliations on projective manifolds, Mathematical Research Letters, vol.21, issue.5, pp.985-1014, 2014.
DOI : 10.4310/MRL.2014.v21.n5.a5

P. , D. Théorie-de-hodge, and I. Inst, Hautes Études Sci. Publ. Math, vol.40, pp.5-57, 1971.

P. Dingoyan, A Factorization Theorem for Curves with Vanishing Self-Intersection, The Journal of Geometric Analysis, vol.33, issue.3, 2014.
DOI : 10.1081/AGB-200049871

J. Demailly, T. Peternell, and M. Schneider, Compact Kähler manifolds with Hermitian semipositive anticanonical bundle, Compositio Math, vol.101, issue.2, pp.217-224, 1996.

A. Grothendieck, Éléments de géométrie algébrique (rédigés avec la collaboration de Jean Dieudonné) : III. Étude cohomologique des faisceaux cohérents, Première partie. Publications Mathématiques de l'IHÉS, pp.5-167, 1961.

R. Hartshorne, Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili, Lecture Notes in Mathematics, vol.156, 1970.

H. Hironaka and H. Matsumura, Formal functions and formal embeddings, Journal of the Mathematical Society of Japan, vol.20, issue.1-2, pp.52-82, 1968.
DOI : 10.2969/jmsj/02010052

Y. Ilyashenko, The nonlinear Riemann-Hilbert problem, Proc. Steklov Inst. Math, issue.2213, pp.6-29, 1996.

S. Kobayashi, Differential geometry of complex vector bundles Kanô Memorial Lectures, 5, 1987.

T. Koike, Toward a higher codimensional Ueda theory-4, 967-991. 29. , On the minimality of canonically attached singular hermitian metrics on certain nef line bundles, Math. Z. Kyoto J. Math, vol.281, issue.55 3, pp.607-616, 2015.

R. Lazarsfeld, Positivity in algebraic geometry. I. Classical setting : line bundles and linear series, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 2004.

F. Loray, Pseudo-groupe d'une singularité de feuilletage holomorphe en dimension deux. HAL :hal-00016434, version 1

F. Loray, J. V. Pereira, and F. Touzet, Repr??sentations de groupes quasi-projectifs, connexions plates et feuilletages transversalement projectifs, Journal de l?????cole polytechnique ??? Math??matiques, vol.3, pp.263-308, 2016.
DOI : 10.5802/jep.34

J. Mattei and R. Moussu, Holonomie et int??grales premi??res, Annales scientifiques de l'??cole normale sup??rieure, vol.13, issue.4, pp.469-523, 1980.
DOI : 10.24033/asens.1393

URL : http://www.numdam.org/article/ASENS_1980_4_13_4_469_0.pdf

A. Neeman, Ueda theory: theorems and problems, Memoirs of the American Mathematical Society, vol.81, issue.415, 1989.
DOI : 10.1090/memo/0415

A. Ogus, The formal Hodge filtration, Inventiones Mathematicae, vol.67, issue.3, pp.31-193, 1975.
DOI : 10.1007/BFb0059504

J. V. Pereira, Fibrations, divisors and transcendental leaves, Journal of Algebraic Geometry, vol.15, issue.1, pp.87-110, 2006.
DOI : 10.1090/S1056-3911-05-00417-0

URL : https://hal.archives-ouvertes.fr/hal-00001527

R. and P. Marco, Solution complète au problème de Siegel de linéarisation d'une application holomorphe au voisinage d'un point fixe (d'après J.-C. Yoccoz), Exp. No. 753, pp.273-310, 1991.

P. Sad, Regular foliations along curves, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.8, issue.4, pp.661-675, 1999.
DOI : 10.5802/afst.948

URL : http://archive.numdam.org/article/AFST_1999_6_8_4_661_0.pdf

B. Scardua, Transversely affine and transversely projective holomorphic foliations, Annales Scientifiques de l?????cole Normale Sup??rieure, vol.30, issue.2, pp.169-204, 1997.
DOI : 10.1016/S0012-9593(97)89918-1

B. Totaro, The topology of smooth divisors and the arithmetic of abelian varieties (Dedicated to William Fulton on the occasion of his 60th birthday), Michigan Math, J, vol.48, pp.611-624, 2000.

F. Touzet, Équations différentielles admettant des solutions Liouvilliennes, Thèse de l'Université de Rennes 1, 1995.

T. Ueda, On the neighborhood of a compact complex curve with topologically trivial normal bundle Neighborhood of a rational curve with a node, J. Math. Kyoto Univ. Publ. Res. Inst. Math. Sci, vol.2283, issue.27 4, pp.583-607, 1982.

I. and U. De-lorraine, 54506 Vandoeuvre-lès-Nancy Cedex, France E-mail address: benoit.claudon@univ-lorraine.fr Univ Rennes, CNRS, IRMAR -UMR 6625, F-35000 Rennes, France E-mail address: frank.loray@univ-rennes1