C. Araujo, S. Druel, and S. Kovács, Cohomological characterizations of projective spaces and hyperquadrics, Inventiones mathematicae, vol.72, issue.2, pp.233-253, 2008.
DOI : 10.2140/pjm.1966.16.167

URL : https://hal.archives-ouvertes.fr/hal-00380927

C. Araujo and S. , On Fano foliations, Advances in Mathematics, vol.238, pp.70-118, 2013.
DOI : 10.1016/j.aim.2013.02.003

URL : https://hal.archives-ouvertes.fr/hal-01330052

P. Baum and R. Bott, Singularities of holomorphic foliations, Journal of Differential Geometry, vol.7, issue.3-4, pp.279-342, 1972.
DOI : 10.4310/jdg/1214431158

A. Beauville, Vari??t??s K??hleriennes dont la premi??re classe de Chern est nulle, Journal of Differential Geometry, vol.18, issue.4, pp.755-782, 1983.
DOI : 10.4310/jdg/1214438181

F. Bogomolov, The decomposition of Kähler manifolds with a trivial canonical class, Mathematics of the USSR-Sbornik, pp.580-583, 1974.

F. Bogomolov and M. Mcquillan, Rational Curves on Foliated Varieties. Foliation theory in algebraic geometry, pp.21-51, 2016.
DOI : 10.1007/978-3-319-24460-0_2

S. Boucksom, J. Demailly, M. Paun, and T. , The pseudo-effective cone of a compact K??hler manifold and varieties of negative Kodaira dimension, Journal of Algebraic Geometry, vol.22, issue.2, pp.201-248, 2013.
DOI : 10.1090/S1056-3911-2012-00574-8

A. Bravo, S. Encinas, and O. Villamayor, A Simplified Proof of Desingularization and Applications, Revista Matem??tica Iberoamericana, vol.21, issue.2, pp.349-458, 2005.
DOI : 10.4171/RMI/425

M. Brion, Some basic results on actions of non affine algebraic groups, Symmetry and spaces, pp.1-20, 2010.

M. Brunella, Birational Geometry of Foliations, Publicaçoes Matemáticas do IMPA. Instituto de Matemática Pura e Aplicada (IMPA), 2004.
DOI : 10.1007/978-3-319-14310-1

M. Brunella and L. G. Mendes, Bounding the degree of solutions to Pfaff equations, Publicacions Matem??tiques, vol.44, issue.2, pp.593-604, 2000.
DOI : 10.5565/PUBLMAT_44200_10

M. Brunella, J. V. Pereira, and F. Touzet, K??hler manifolds with split tangent bundle, Bulletin de la Société mathématique de France, vol.134, issue.2, pp.241-252, 2006.
DOI : 10.24033/bsmf.2507

URL : http://www.numdam.org/article/BSMF_2006__134_2_241_0.pdf

F. Campana and M. , Foliations with positive slopes and birational stability of orbifold cotangent bundles, 2015.

F. Campana and T. , Geometric stability of the cotangent bundle and the universal cover of a projective manifold, Bulletin de la Société mathématique de France, vol.139, issue.1, pp.41-74, 2011.
DOI : 10.24033/bsmf.2599

URL : https://hal.archives-ouvertes.fr/hal-01286486

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

D. Cerveau and A. Neto, Irreducible Components of the Space of Holomorphic Foliations of Degree Two in CP(n), n ???3, The Annals of Mathematics, vol.143, issue.3, pp.577-612, 1996.
DOI : 10.2307/2118537

D. Cerveau, A. Neto, F. Loray, J. V. Pereira, and F. Touzet, Algebraic Reduction Theorem for complex codimension one singular foliations, Commentarii Mathematici Helvetici, vol.81, pp.157-169, 2006.
DOI : 10.4171/CMH/47

URL : https://hal.archives-ouvertes.fr/hal-00459193

D. Cerveau, A. Neto, F. Loray, J. V. Pereira, and F. Touzet, Complex Codimension one singular foliations and Godbillon-Vey Sequences, Moscow Math. Jour, vol.7, pp.21-54, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00002095

S. C. Coutinho and J. V. Pereira, On the density of algebraic foliations without algebraic invariant sets, Journal fur die reine und angewandte Mathematik (Crelles Journal), vol.269, issue.594, pp.117-135, 2006.
DOI : 10.1090/conm/269/04333

O. Debarre, Higher-dimensional algebraic geometry. Universitext, 2001.
DOI : 10.1007/978-1-4757-5406-3

J. Demailly, On the Frobenius integrability of certain holomorphic p-forms. Complex geometry, pp.93-98, 2002.

T. Graber, J. Harris, and J. Starr, Families of rationally connected varieties, Journal of AMS, vol.16, issue.5, pp.57-67, 2003.

R. Hartshorne, Ample Vector Bundles on Curves, Nagoya Mathematical Journal, vol.3, pp.73-89, 1971.
DOI : 10.2307/1970720

URL : https://www.cambridge.org/core/services/aop-cambridge-core/content/view/688CDCECA7F28AAE82FA31F48D19FED5/S0027763000014379a.pdf/div-class-title-ample-vector-bundles-on-curves-div.pdf

J. Hwang and E. Viehweg, Abstract, Compositio Mathematica, vol.18, issue.02, pp.497-506, 2010.
DOI : 10.4310/jdg/1214438181

S. Iitaka, Logarithmic forms of algebraic varieties, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.23, issue.3, pp.525-544, 1976.
DOI : 10.1017/cbo9780511569197.014

N. Jacobson, Lie algebras. Republication of the 1962 original, 1979.

S. Kebekus, L. Solá-conde, and M. Toma, Rationally connected foliations after Bogomolov and McQuillan, Journal of Algebraic Geometry, vol.16, issue.1, pp.65-81, 2007.
DOI : 10.1090/S1056-3911-06-00435-8

URL : http://arxiv.org/pdf/math/0505222v2.pdf

J. Kollár, Flips and abundance for algebraic threefolds, Astérisque, vol.211, 1993.

J. Kollár, Singularities of the minimal model program, Cambridge Tracts in Mathematics

J. Kollár, Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 1996.
DOI : 10.1007/978-3-662-03276-3

J. Kollár and M. Larsen, Quotients of Calabi-Yau varieties. Algebra, arithmetic, and geometry: in honor of, Yu. I. Manin. Progr. Math, vol.270, pp.179-211, 2009.

I. Kupka, THE SINGULARITIES OF INTEGRABLE STRUCTURALLY STABLE PFAFFIAN FORMS, Proceedings of the National Academy of Sciences, vol.52, issue.6, pp.1431-1432, 1964.
DOI : 10.1073/pnas.52.6.1431

R. Lima and J. V. Pereira, A characterization of diagonal Poisson structures, Bulletin of the London Mathematical Society, vol.72, issue.6, pp.1203-1217, 2014.
DOI : 10.1007/BF01389326

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

F. Loray and J. V. Pereira, TRANSVERSELY PROJECTIVE FOLIATIONS ON SURFACES: EXISTENCE OF MINIMAL FORM AND PRESCRIPTION OF MONODROMY, International Journal of Mathematics, vol.30, issue.06, pp.723-747, 2007.
DOI : 10.1007/s10231-005-0153-9

F. Loray, J. V. Pereira, and F. Touzet, Foliations with trivial canonical bundle on Fano 3-folds, Mathematische Nachrichten, vol.72, issue.2, pp.8-9, 2013.
DOI : 10.1007/BF01389326

URL : https://hal.archives-ouvertes.fr/hal-00694155

M. Mcquillan, Canonical models of foliations. Pure Appl, Math. Q, vol.4, issue.3 2, pp.877-1012, 2008.

M. Mcquillan and D. Panazzolo, Almost ??tale resolution of foliations, Journal of Differential Geometry, vol.95, issue.2, pp.279-319, 2013.
DOI : 10.4310/jdg/1376053448

V. B. Mehta and A. Ramanathan, Semistable sheaves on projective varieties and their restriction to curves, Mathematische Annalen, vol.128, issue.3, pp.213-224, 1981.
DOI : 10.1515/9781400882069

Y. Miyaoka, Deformations of a morphism along a foliation and applications. Algebraic geometry , Bowdoin, Proc. Sympos. Pure Math, vol.46, pp.245-268, 1985.

Y. Miyaoka and T. , Geometry of higher dimensional algebraic varieties, DMV Seminar, vol.26, 1997.
DOI : 10.1007/978-3-0348-8893-6

S. Neumann, A decomposition of the Moving cone of a projective manifold according to the Harder-Narasimhan filtration of the tangent bundle, 2009.

J. V. Pereira and L. Pirio, The Classification of Exceptional CDQL Webs on Compact Complex Surfaces, International Mathematics Research Notices, vol.2010, issue.12, pp.2169-2282
DOI : 10.1093/imrn/rnp208

URL : https://hal.archives-ouvertes.fr/hal-00300205

A. Polishchuk, Algebraic geometry of Poisson brackets, Journal of Mathematical Sciences, vol.108, issue.5, pp.1413-1444, 1997.
DOI : 10.1007/BF02399197

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

N. I. Shepherd-barron, Semi-stability and reduction mod p, Topology, vol.37, issue.3, pp.659-664, 1998.
DOI : 10.1016/S0040-9383(97)00038-4

URL : https://doi.org/10.1016/s0040-9383(97)00038-4

C. Simpson, Subspaces of moduli spaces of rank one local systems, Annales scientifiques de l'??cole normale sup??rieure, vol.26, issue.3
DOI : 10.24033/asens.1675

A. J. Sommese, Holomorphic vector-fields on compact Kaehler manifolds, Mathematische Annalen, vol.76, issue.1, pp.75-82, 1974.
DOI : 10.1007/BF01344547

F. Touzet, Feuilletages holomorphes de codimension un dont la classe canonique est triviale, Annales scientifiques de l'??cole normale sup??rieure, vol.41, issue.4, pp.655-668, 2008.
DOI : 10.24033/asens.2078

URL : https://hal.archives-ouvertes.fr/hal-00383777

F. Touzet, Uniformisation de l???espace des feuilles de certains feuilletages de codimension un, Bulletin of the Brazilian Mathematical Society, New Series, vol.41, issue.3, pp.351-391, 2013.
DOI : 10.1007/BF01389217