Publications:
M. Corrêa; M. Jardim, S. Marchesi, Classification of the invariants of foliations by curves of low degree on the three-dimensional projective space. (arXiv).
Revista Matemática Iberoamericana. 2023.
M. Corrêa, A. Molinuevo, F. Quallbrunn, Families and unfoldings of singular holomorphic Lie Algebroids. 2023.
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze .
M. Corrêa, I. Vainsencher, Enumerative geometry of Legendrian foliations: a Tale of Contact. 2023.
To appear on Perspectives on four decades: Algebraic Geometry 1980-2020. In memory of Alberto Collino; Trends in Mathematics (arXiv).
M. Corrêa, D. Machado. Global residue formula for logarithmic indices of foliations, 2022.
To appear in Communications in Analysis and Geometry (arXiv).
M. Corrêa ; M. Jardim, A. Muniz, Moduli of Distributions via Singular Schemes . 2022. Mathematische Zeitschrift.
M. Corrêa, Antonio M. Ferreira, Misha Verbitsky, Classification of holomorphic Pfaff systems on Hopf manifolds. European Journal of Mathematics. 2021.
M. Corrêa, Antonio M. Ferreira, F. Lourenço, D. Machado , On Gauss-Bonnet and Poincaré-Hopf type theorems for complex ∂-manifolds. Moscow Mathematical Journal. 2021.
M. Corrêa , M. Soares, A. Fernandez-Perez, Brunella-Khanedani-Suwa variational residues for invariants currents. Journal of Singularities, 2021.
M. Corrêa, O. Calvo-Andrade, M. Jardim, Codimension one distributions and stable rank 2 reflexive sheaves on threefolds. Annals of the Brazilian Academy of Sciences. 2021.
M. Corrêa , V. Soares dos Reis, A singular Darboux type theorem and non-integrable projective distributions of degree one. Boletín de la Sociedad Matemática Mexicana. 2021.
M. Corrêa, Rational Morita equivalence for holomorphic Poisson modules, Advances in Mathematics. Volume 372, 7, 2020.
M. Corrêa ; O. Calvo-Andrade, M. Jardim, Codimension one holomorphic distributions on projective three-spaces. International Mathematics Research Notices. Vol. 2020, 23, pg. 9011–9074. 2020.
M. Corrêa ; D. Machado, GSV-index for holomorphic Pfaff systems. Documenta Mathematica. 25, 1011-1027 , 2020.
A. Cavalcante, M. Corrêa, S. Marchesi, On holomorphic distributions on Fano threefolds, Journal of Pure and Applied Algebra. vol. 224, 6, 2020.
M. Corrêa ; T. Suwa. Localization of Bott-Chern classes and Hermitian residues. Journal of the London Mathematical Society. vol. 101, 1, 349-372, 2020.
M. Corrêa ; D. Machado, Residue formulas for logarithmic foliations and applications. Transactions of the American Mathematical Society. vol. 371, 6403-6420, 2019.
M. Corrêa ; F. Lourenço, Determination of Baum-Bott residues for higher dimensional foliations. Asian Journal of Mathematics. 2019.
M. Corrêa ; A. Muniz, Polynomial bounds for automorphism groups of foliations. Revista Matemática Iberoamericana. 2019.
M. Corrêa ; C. Araujo, A. Massarenti, Codimension one Fano distributions on Fano manifolds. Communications in Contemporary Mathematics, 2018.
M. Corrêa ; L. Câmara, Residues for maps generically transversal to foliations. Proceedings of the American Mathematical Society. 146, pg 5225-5234, 2018.
M. Corrêa ; J-P. Brasselet; F. Lourenço, Residues for flags of holomorphic foliations. Advances in Mathematics, vol. 320, n.7, 1158-1184, 2017.
M. Corrêa ; A. Fernandez-Perez; O. Calvo-Andrade, Higher codimensional holomorphic foliations with a Kupka set. International Journal of Mathematics, vol. 28, n.3, 2017.
M. Corrêa ; A. Fernandez-Perez; Absolutely k-convex domains and holomorphic foliations on homogeneous manifolds Journal of the Mathematical Society of Japan. vol. 69, n.3, 1235-1246, 2017.
M. Corrêa ; A. M. Rodríguez ; F. Brochero Martinez; Poincaré problem for weighted projective foliations. Bulletin Brazilian Mathematical Society , 48, (2), 219-235, 2017.
M. Corrêa ; A. M. Rodríguez; M. G. Soares. A Bott type residues formula for complex orbifolds. International Mathematics Reserch Notices, (10), 2889-2911, 2016.
M. Corrêa ; A. M. Ferreira; A. Fernandez-Perez, Classification of holomorphic distributions on Hopf manifolds. Mathematische Annalen. v. 365, (1) , 579-593, 2016.
M. Corrêa ; Rank two nilpotent co-Higgs sheaves on complex surfaces, Geometriae Dedicata, 183, (1), 25-31, 2016.
M. Corrêa ; A. M. Rodríguez; Residue formula for Morita-Futaki-Bott invariants on complex orbifolds - Comptes Rendus Mathematique. (354), 1109-1113, 2016.
M. Corrêa ; L. G. Maza, Engel Theorem through singularities. Bulletin des Sciences Mathématiques, 140, (6), 675-686. 2016.
M. Corrêa ; A. Fernandez-Perez; O. Calvo-Andrade, On non-Kupka points of codimension one foliations on P3. Annals of the Brazilian Academy of Sciences. vol. 88, n.4, 2016.
M. Corrêa Jr ; M. Jardim ; R. Vidal . On the Singular scheme of split foliations, Indiana University Mathematics Journal, 64 No. 5 1359–1381, 2015.
M. Corrêa Jr ; L. G. Maza, M. G. Soares, Hypersurfaces Invariant by Pfaff Equations, Communications in Contemporary Mathematics, 17, 1450051. 2015.
M. Corrêa Jr ; G. N. Costa ;A. Fernandez-Perez ; R. Vidal . Foliations by curves with curves as singularities, Annales de l'institut Fourier, 64 n.4 , pg. 1781-1805- 2014.
M. Corrêa Jr ; T. Fassarela, On the order of the automorphism group of foliations, Mathematische Nachrichten , 287, No 16, 1795-1803, 2014.
M. Corrêa Jr ; C. Araujo. On degeneracy scheme of maps of vector bundles and application to holomorphic foliations, Mathematische Zeitschrift , v 276 , issue 1-2, pp. 505-515, 2013.
M. Corrêa Jr ; M. G. Soares .Inequalities for characteristic numbers of flags of distributions and foliations, International Journal of Mathematics. v 24, 1350093, 2013. (Errata: a typo fixed)
M. Corrêa Jr ; SOARES, M. G. . A note on Poincaré s problem for quasi-homogeneous foliations. Proceedings of the American Mathematical Society, v. 145, p. 1, 2012.
M. Corrêa Jr ; M. Jardim . Bounds for sectional genera of varieties invariant under Pfaff fields. Illinois Journal of Mathematics, vol. 56-2, pg 343-352, 2012.
M. Corrêa Jr ; Maza, L.G. ; M. G. Soares . Algebraic integrability of polynomial differential r-forms. Journal of Pure and Applied Algebra, v. 215, p. 2290-2294, 2011.
M. Corrêa Jr . An improvement to Lagutinskii-Pereira integrability Theorem. Mathematical Research Letters, v. 18, p. 645-661, 2011.
M. Corrêa , M. G. Soares ; . A Poincaré type inequality for one-dimensional multiprojective foliations. Bulletin Brazilian Mathematical Society, v. 42, p. 485-503, 2011.
M. Corrêa Jr . Darboux Integrability For Polynomial Vector Fields Invariant Under Action of Finite Group. Qualitative Theory of Dynamical Systems, v. 11, p. 159-166, 2011.
M. Corrêa Jr ; M. G. Soares . Counting hypersurfaces invariant by one-dimensional complex foliations. London Mathematical Society. Lecture Note Series, v. 308, p. 104-113, 2010.
M. Corrêa Jr . Darboux-Jouanolou- Ghys integrability for one-dimensional foliations on toric varieties. Bulletin des Sciences Mathématiques , v. 134, p. 693-704, 2010.