Bruno Scardua

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Produções bibliográficas

• Scárdua, Bruno ; LEON, V. A. M. . On real center singularities of complex vector fields on surfaces. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL , v. 39, p. 231-242, 2024.

• Scárdua, Bruno ; LEÓN, V. . Frobenius methods for analytic second order linear partial differential equations. SELECCIONES MATEMATICAS , v. 10, p. 210,-248, 2023.

• Scárdua, Bruno ; REIS, F. . On the Integrability of Hill?s Equation of the Motion of the Moon. Journal of Mathematics and Statistics Research , v. 5, p. 169, 2023.

• Scárdua, Bruno ; JURADO, L. . On transversely holomorphic foliations with homogeneous transverse structure. Proceedings of the International Geometry Center , v. 1, p. 1, 2023.

• Scárdua, Bruno ; LEON, V. A. M. . On Integral Conditions for the Existence of First Integrals for Analytic Deformations of Complex Saddle Singularities. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS , p. 1-20, 2022.

• Scárdua, Bruno ; LEON, V. A. M. . Homologically trivial integrable deformations of germs of holomorphic functions. JOURNAL OF SINGULARITIES , p. 119-125, 2022.

• D, C. ; Scardua, B. . Integrable Deformations of Foliations: a Generalization of Ilyashenko's Result. MOSCOW MATHEMATICAL JOURNAL (ONLINE) , v. 21, p. 271-286, 2021.

• Scardua, B. ; REIS, F. . On germs of holomorphic foliations admitting sectorial first integrals. BOLETÍN DE LA SOCIEDAD MATEMÁTICA MEXICANA (ONLINE) , v. 27, p. 01, 2021.

• SCÁRDUA, B. C. A. ; LEON, V. A. M. . A geometric-analytic study of linear differential equations of order two. Electronic Research Archive , v. 29, p. 2101-2127, 2021.

• LEON, V. A. M. ; Scardua, B. . On a theorem of Lyapunov-Poincaré in higher dimensions. arnold mathematical journal , v. 7, p. 561-571, 2021.

• LEON, V. A. M. ; RODRIGUEZ, A. ; Scardua, B. . Analysis of third order linear analytic differential equations with a regular singularity: Bessel and other classical equations. Annals of Mathematical Sciences and Applications , v. 6, p. 51-83, 2021.

• MOLINUEVO, A. ; Scardua, B. . On first order deformations of homogeneous foliations. BULLETIN DES SCIENCES MATHEMATIQUES , p. 102897, 2020.

• Martelo, M. ; LEON, V. A. M. ; Scardua, B. . Irreducible holonomy groups and first integrals for holomorphic foliations. Forum Mathematicum , v. 32, p. 783-794, 2020.

• SCÁRDUA, B. C. A. . Analytic deformations of pencils and integrable one-forms having a first integral. INTERNATIONAL JOURNAL OF MATHEMATICS , v. 31, p. 2050089, 2020.

• LEÓN, V. ; Martelo, M. ; Scárdua, B. . Irreducible holonomy groups and Riccati foliations in higher complex dimension. JOURNAL OF SINGULARITIES , v. 19, p. 177-197, 2019.

• D, C. ; Scárdua, B. . Integrable deformations of local analytic fibrations with singularities. ARKIV FOR MATEMATIK , v. 56, p. 33-44, 2018.

• LEON, V. A. M. ; Scárdua, Bruno . Stable singularities and stable leaves of holomorphic foliations in dimension two. MOSCOW MATHEMATICAL JOURNAL (ONLINE) , v. 18, p. 163-179, 2018.

• Martelo, M. ; Scárdua, Bruno . L-stable Groups of Complex Diffeomorphisms with a Fixed Point. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY , v. 49, p. 463-479, 2018.

• Scárdua, Bruno . Simple dynamics and integrability for singularities of holomorphic foliations in dimension two. Journal of Singularities , v. 14, p. 148-171, 2016.

• ITO, Toshikazu ; YAMAGISHI, Y. ; Scárdua, Bruno . Transversality of Complex Linear Distributions with Spheres, Contact Forms and Morse Type Foliations - II. The Asian Journal of Mathematics , v. 19, p. 343-356, 2015.

• MAFRA, A. ; Scárdua, Bruno . Abelian singularities of holomorphic foliations with Lie transverse structure. Journal of Singularities , v. 10, p. 191-199, 2015.

• CAMACHO, César ; Scárdua, Bruno . A Darboux-type theorem for germs of holomorphic one-dimensional foliations. Ergodic Theory & Dynamical Systems (Print) , v. 35, p. 2458-2473, 2015.

• ITO, Toshikazu ; YAMAGISHI, Y. ; Scardua, B. . Degeneracy locus of critical points of the distance function on a holomorphic foliation. Journal of the Mathematical Society of Japan , v. 66, p. 123-137, 2014.

• Scárdua, B. ; Seade, J. ; MAFRA, A. . On smooth deformations of foliations with singularities. Journal of Singularities , p. 101-110, 2014.

• ITO, Toshikazu ; Scardua, B. ; YAMAGISHI, Y. . Integration of complex polynomial differential equations in higher dimension, a first step: Lie transverse structure. Sociedade Brasileira de Matematica. Boletim, Nova Serie , v. 45, p. 505-523, 2014.

• Scárdua, B. . Dynamics and Integrability for Germs of Complex Vector Fields with Singularity in Dimension Two. Qualitative Theory of Dynamical Systems , v. 13, p. 363-381, 2014.

• Scárdua, Bruno . Singularities of complex vector fields having many closed orbits. Journal of Singularities , p. 69-82, 2014.

• Scárdua, Bruno ; ITO, T. ; YAMAGISHI, Y. . On holomorphic flows on Stein surfaces: Transversality, dicriticalness and stability. International Journal of Mathematics , v. 25, p. 1450093, 2014.

• Martelo, M. ; Scardua, B. . Integrating factors for groups of formal complex diffeomorphisms. Journal of Dynamical and Control Systems , v. 19, p. 195, 2013.

• Scárdua, B. ; MAFRA, A. ; GARAKANI, M. T. . 'On topological rigidity of phase-portraits in the complex plane. Boletín de la Sociedad Matemática Mexicana (Online) , v. 19, p. 65-83, 2013.

• C, C. ; Scardua, B. . On the existence of stable compact leaves for transversely holomorphic foliations. Topology and its Applications , v. 160, p. 1802-1808, 2013.

• Martelo, M. ; Scardua, B. . On groups of formal diffeomorphisms of several complex variables. Anais da Academia Brasileira de Ciências (Impresso) , v. 84, p. 873-880, 2012.

• Scardua, Bruno . A Measurable Stability Theorem for Holomorphic Foliations Transverse to Fibrations. International Journal of Differential Equations , v. 2012, p. 1-6, 2012.

• Santos, Fabio ; Scardua, Bruno . Stability of complex foliations transverse to fibrations. American Mathematical Society. Proceedings , v. 140, p. 3083-3090, 2012.

• Câmara, Leonardo ; Scárdua, Bruno . A Fatou type theorem for complex map germs. Conformal Geometry and Dynamics , v. 16, p. 256-268, 2012.

• Scárdua, Bruno . Differential Algebra and Liouvillian first integrals of foliations. Journal of Pure and Applied Algebra (Print) , v. 215, p. 764-788, 2011.

• MAFRA, ALBETÃ ; Scardua, Bruno . ONE-DIMENSIONAL LIE FOLIATIONS WITH GENERIC SINGULARITIES IN COMPLEX DIMENSION THREE. Journal of the Australian Mathematical Society (2001. Print) , v. 91, p. 13-28, 2011.

• Scardua, B. ; Seade, J. . Codimension 1 foliations with Bott-Morse singularities II. J TOPOL , v. 4, p. 343-382, 2011.

• CAMACHO, César ; Scárdua, Bruno . Extension theorems for analytic objects associated to foliations. Bulletin des Sciences Mathématiques (Paris. 1885) , v. 136, p. 54-71, 2011.

• ITO, Toshikazu ; Scardua, Bruno . A NON-EXISTENCE THEOREM FOR MORSE TYPE HOLOMORPHIC FOLIATIONS OF CODIMENSION ONE TRANSVERSE TO SPHERES. International Journal of Mathematics , v. 21, p. 435-452, 2010.

• Scárdua, Bruno . HOLOMORPHIC FLOWS WITH PERIODIC ORBITS ON STEIN SURFACES. Bulletin of the Australian Mathematical Society , v. 82, p. 177-186, 2010.

• Santos, Fabio ; Scárdua, Bruno . Construction of vector fields and Riccati foliations associated to groups of projective automorphisms. Conformal Geometry and Dynamics , v. 14, p. 156-166, 2010.

• ITO, T. ; Scardua, B. ; YAMAGISHI, Y. . Transversality of complex linear distributions with spheres, contact forms and Morse type foliations. Journal of Geometry and Physics , v. 60, p. 1370-1380, 2010.

• MAFRA, A. ; Scárdua, B. . A complete stability theorem for foliations with singularities. Topology and its Applications , v. 157, p. 2141-2144, 2010.

• SCÁRDUA, B. C. A. ; Seade, J. . Codimension one foliations with Bott-Morse singularities I. Journal of Differential Geometry , v. 83, p. 189-212, 2009.

• CAMACHO, César ; Scárdua, Bruno . Actions of the groups $${mathbb C}$$ and $${mathbb C^*}$$ on Stein varieties. Geometriae Dedicata , v. 139, p. 5-14, 2009.

• CAMACHO, C. ; Scárdua, B. . Nondicritical $${mathbb {C}^*}$$ -actions on two-dimensional Stein manifolds. Manuscripta Mathematica , v. 129, p. 91-98, 2009.

• CAMACHO, C. ; Movasati, H. ; Scárdua, B. . The Moduli of Quasi-Homogeneous Stein Surface Singularities. The Journal of Geometric Analysis , v. 19, p. 244-260, 2009.

• ITO, Toshikazu ; SCÁRDUA, B. C. A. . Holomorphic foliations transverse to manifolds with corners. Discrete and Continuous Dynamical Systems , v. 25, p. 537-544, 2009.

• Scárdua, Bruno ; Câmara, Leonardo . On the integrability of holomorphic vector fields. Discrete and Continuous Dynamical Systems , v. 25, p. 481-493, 2009.

• Mafra, Albetã Costa ; Scardua, Bruno . Complex polynomial vector fields having an orbit with finite total curvature. Geometriae Dedicata , p. 01-19, 2009.

• Scárdua, Bruno ; Seade, J. . Compact foliations with Bott-Morse singularities. Contemporary Mathematics - American Mathematical Society (Print) , v. 498, p. 83-97, 2009.

• LEÓN, V. ; Scárdua, B. . A complete Frobenius type method for linear partial differential equations of third order. DIFFERENTIAL EQUATIONS & APPLICATIONS , p. 115-149, 2009.

• SCÁRDUA, B. C. A. ; CAMACHO, César . On Foliations with Morse singularities. Proceedings of the American Mathematical Society , v. 136, p. 4065-4073, 2008.

• SCÁRDUA, B. C. A. ; BEHAGUE, A. T. . Foliations invariant under Lie group transverse actions. Monatshefte für Mathematik , v. 153, p. 295-308, 2008.

• SCÁRDUA, B. C. A. . On the classification of $C^n$-actions and Stein manifolds. Indian Journal of Mathematics , v. 50, p. 125-148, 2008.

• SCÁRDUA, B. C. A. ; ITO, Toshikazu . On the Poincaré-Hopf index theorem for the complex case. The Open Mathematics Journal , v. 1, p. 1-10, 2008.

• SCÁRDUA, B. C. A. ; BRACCI, Filippo . On holomorphic vector fields transverse to polydiscs. Journal of the London Mathematical Society , Londres, v. (2) 75, p. 99-115, 2007.

• SCÁRDUA, B. C. A. . On the classification of holomorphic flows and Stein surfaces. Complex Variables, Theory & Application , Estados Unidos, v. 52, n.1, p. 79-83, 2007.

• SCÁRDUA, B. C. A. ; C, C. . On codimension one foliations with Morse singularities on three-manifolds. Topology and its Applications , v. 154, p. 1032-1040, 2007.

• SCÁRDUA, B. C. A. . Complex vector fields having a finitely curved orbit. Acta Mathematica Sinica , v. 23, p. 2247-2252, 2007.

• SCÁRDUA, B. C. A. ; CAMACHO, César . Dicritical holomorphic flows on Stein manifolds. Archiv der Mathematik , v. 89, p. 339-349, 2007.

• SCÁRDUA, B. C. A. . On minimal surfaces whose Gauss map is invariant by a holomorphic foliation. Quarterly Journal of Mathematics , Reino Unido, v. 57, n.3, p. 367-370, 2006.

• SCÁRDUA, B. C. A. ; ITO, Toshikazu . On the classification of non-integrable complex distributions. Indagationes Mathematicae , v. 17, p. 397-406, 2006.

• SCÁRDUA, B. C. A. ; ITO, Toshikazu . A geometric characterization of linear hyperbolic flows on C^n. Ergodic Theory & Dynamical Systems , Inglaterra, v. 26, p. 1569-1578, 2006.

• SCÁRDUA, B. C. A. ; ITO, T. . A Poincaré-Hopf type theorem for holomorphic one-forms. Topology (Oxford) , Inglaterra, v. 44, n.1, p. 73-84, 2005.

• SCÁRDUA, B. C. A. ; D, C. . Complete polynomial vector fields in two complex variables. Forum Mathematicum , Alemanha, v. 17, n.03, p. 407-430, 2005.

• SCÁRDUA, B. C. A. ; ITO, Toshikazu . On holomorphic foliations transverse to spheres. Moscow Mathematical Journal (Online) , Moscow-Russia e New York-USA, v. 5, n.2, p. 379-397, 2005.

• SCÁRDUA, B. C. A. ; ITO, Toshikazu . On the geometry of holomorphic flows and foliations having transverse sections. Geometriae Dedicata , v. 111, p. 23-42, 2005.

• SCÁRDUA, B. C. A. . On complex codimension one foliations transverse to fibrations. Journal of Dynamical and Control Systems , New York, v. 11, n.4, p. 575-603, 2005.

• SCÁRDUA, B. C. A. ; ITO, Toshikazu . On the non-existence of a codimension one holomorphic foliation transverse to a sphere. Mathematical Research Letters , New York, v. 12, n.5-6, p. 713-717, 2005.

• SCÁRDUA, B. C. A. ; ITO, Toshikazu . On holomorphic one-forms transverse to closed manifolds. Anais da Academia Brasileira de Ciências , Brasil, v. 75, n.3, p. 265-269, 2004.

• SCÁRDUA, B. C. A. ; ITO, T. . Holomorphic foliations of codimension one transverse to polydiscs. Journal für die Reine und Angewandte Mathematik. Crelles Journal , Holanda, v. 575, p. 37-44, 2004.

• SCÁRDUA, B. C. A. . On complex vector fields having simply-connected orbits. Qualitative Theory of Dynamical Systems , v. 5, p. 223-245, 2004.

• SCÁRDUA, B. C. A. ; CERVEAU, D. ; CANO, F. . Holomorphic Foliations Desingularized by Punctual Blow-ups. Journal of Pure and Applied Algebra , EUA, v. 178, n.3, p. 235-243, 2003.

• SCÁRDUA, B. C. A. . Holomorphic Anosov systems, fibrations and fibering complex manifolds. Dynamical Systems , Cambridge-Inglaterra, v. 18, n.4, p. 365-389, 2003.

• SCÁRDUA, B. C. A. . On transcendental automorphisms of algebraic foliations. Fundamenta Mathematicae , Polônia, v. 179, n.2, p. 179-190, 2003.

• SCÁRDUA, B. C. A. . Complex Vector Fields Having Orbits With Bounded Geometry. Tohoku Mathematical Journal , v. 54, n.3, p. 367-392, 2002.

• SCÁRDUA, B. C. A. ; MARTINS, J. C. C. . On the growth of holomorphic projective foliations.. International Journal of Mathematics , República de Singapura, v. 13, n.7, p. 695-726, 2002.

• SCÁRDUA, B. C. A. ; ZERNOV, A. E. . Integration of polynomial ordinary differential equations in the real plane. Aequationes Mathematicae , Áustria, v. 61, p. 190-200, 2001.

• SCÁRDUA, B. C. A. . Holomorphic foliations transverse to fibrations on hyperbolic manifolds. Complex Variables, Theory & Application , Holanda, v. 46, p. 219-240, 2001.

• SCÁRDUA, B. C. A. . Complex Projective Foliations Having Sub-exponential Growth. Indagationes Mathematicae , Holanda, v. 12 (3), n.Sept., p. 293-302, 2001.

• SCÁRDUA, B. C. A. ; CAMACHO, C. . Complex Foliations with Algebraic Limit Sets. Astérisque , Paris, v. 261, p. 57-88, 2000.

• SCÁRDUA, B. C. A. . Integration Of Complex Differential Equations. Journal of Dynamical and Control Systems , New York, v. 5, p. 1-50, 1999.

• SCÁRDUA, B. C. A. ; CAMACHO, C. . Holomorphic Foliations and Kupka Singularities. Communications in Analysis and Geometry , Estados Unidos, v. 7, n.23, p. 623-641, 1999.

• SCÁRDUA, B. C. A. ; CAMACHO, C. . Liouvillian First Integrals of Holomorphic Foliations. Ergodic Theory & Dynamical Systems , v. 21, p. 717-756, 1999.

• SCÁRDUA, B. C. A. . A Remark On Parabolic Projective Foliations. Hokkaido Mathematical Journal , Japão, v. 28, n.2, p. 231-252, 1999.

• SCÁRDUA, B. C. A. ; CAMACHO, C. . Beyond Liouvillian Transcendence. Mathematical Research Letters , Nova York, v. 6, p. 31-41, 1999.

• SCÁRDUA, B. C. A. . Parabolic Uniform Limits of Holomorphic Flows in C^2. Boletín de la Sociedad Matemática Mexicana (Online) , Cidade do México, v. 4, n.3, p. 123-130, 1998.

• SCÁRDUA, B. C. A. ; SAD, P. ; LINS, A. . On Topological Rigidity Of Projective Foliations. Bulletin de la Société Mathématique de France , Paris, v. 126, n.03, p. 381-406, 1998.

• C, C. ; SCÁRDUA, B. C. A. . On The Transcendency Of The Solutions Of A Complex Differential Equation. ECUACIONES DIFERENCIALES - SINGULARIDADES, p. 79-103, 1997.

• SCÁRDUA, B. C. A. . Transversely Affine and Transversely Projective Holomorphic Foliations. Annales Scientifiques de l' École Normale Supérieure , Paris, v. 30, n.04, p. 169-204, 1997.

• CAMACHO, C. ; Scárdua, Bruno . Generalización de un teorema de Painlevé. Pro Mathematica (Lima) , v. IX, p. 35-43, 1995.

• LEÓN, V. ; Scárdua, Bruno . Equações diferenciais: Um curso universitário - Parte I: Equações ordinárias. 1. ed. São Paulo: Livraria da Física, 2022. v. 01. 778p .

• Scárdua, Bruno . Holomorphic Foliations with Singularities: Key Concepts and Modern Results. 1. ed. Berlin: Springer, 2021. v. 1. 200p .

• Scárdua, Bruno ; LEON, V. A. M. . Introdução à geometria e topologia dos sistemas dinâmicos em superfícies e além. 01. ed. Rio de Janeiro: IMPA, 2021. v. 01. 284p .

• LINS, A. ; Scardua, B. . Complex Algebraic foliations. 1. ed. Berlin: De Gruyter, 2020. 250p .

• SCÁRDUA, B. C. A. . A swift introduction to holomorphic foliation with singularities. 1. ed. Lima Perú: EDUNI, 2019. v. 1. 158p .

• MORALES, C. ; Scárdua, B. . Geometry, Dynamics and Topology of Foliations: A First Course. 1. ed. Cingapura: Worid Scientific Publishing, 2016. v. 01. 250p .

• LINS, A. ; SCÁRDUA, B. C. A. . Folheações Algébricas Complexas. 01. ed. Rio de Janeiro: IMPA/SBM, 2015. v. 01. 316p .

• Scárdua, Bruno . Equações Ordinárias e Aplicações. 1. ed. , 2015. v. 1. 282p .

• SCÁRDUA, B. C. A. ; MORALES, C. . Geometry and Dynamics of foliated manifolds. 1. ed. Rio de Janeiro: Publicações Matemáticas do IMPA, 2003. v. 01. 257p .

• SCÁRDUA, B. C. A. . Some Topics on Geometric Theory of Foliations. 26. ed. Lima: Instituto de Matemática y Ciencías Afines, IMCA., 2002. v. 01. 56p .

• SCÁRDUA, B. C. A. . Sobre a teoria global das folheações holomorfas. 3. ed. Tordesillas-Espanha: Instituto Interuniversitario de Estudios de Iberoamerica y Portugal, 2002. v. 01. 83p .

• SCÁRDUA, B. C. A. . Tópicos de Equações Diferenciais Ordinárias. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA), 1999. v. 01. 124p .

• SCÁRDUA, B. C. A. ; A, L. N. . Folheações Algébricas Complexas. Rio de Janeiro: IMPA, 1997. v. 01. 160p .

• Scárdua, Bruno . Holomorphic Foliations: Singularities and Local Geometric Aspects. In: Cano, F.; Cisneros-Molina J.L.; Dũng Tráng L.; Seade, J.. (Org.). Handbook of Geometry and Topology of Singularities V: Foliations. 1ed.: Springer International Publishing, 2024, v. , p. 1-69.

• Câmara, Leonardo M. ; Scárdua, Bruno . A Comprehensive Approach to the Moduli Space of Quasi-homogeneous Singularities. Springer Proceedings in Mathematics & Statistics. 1ed.: Springer International Publishing, 2018, v. , p. 459-487.

• Scárdua, Bruno . On Singular Holomorphic Foliations with Projective Transverse Structure. Springer Proceedings in Mathematics & Statistics. 1ed.: Springer International Publishing, 2018, v. , p. 181-228.

• SCÁRDUA, B. C. A. ; LEON, V. A. M. . ANALYTIC LINEAR ORDINARY DIFFERENTIAL EQUATIONS OF ORDER TWO: REGULAR SINGULARITIES, SYNTHESIS, RIGIDITY AND CLASSIFICATION. Electronic Research Archive , 2022.

• Scárdua, Bruno . Geometry and Topology of Singularities: holomorphic foliations and singularities. Berlin: Springer, 2021 (Livro).

• Scárdua, Bruno ; LEON, V. A. M. . quações diferenciais ordinárias: solução e teoria elementar. Um curso para engenheiros e afins. Springer, 2021 (livro).

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