Nuria Corral

  Publicaciones

• (con F. Cano y D. Senovilla-Sanz) Saito basis and a Standard basis for plane curves. Aceptado en Publicacions Matemàtiques. arXiv:2404.00315

• (con M. Martín-Vega, F. Sanz Sánchez) Surfaces with central configuration and Dulac's problem for a three dimensional isolated Hopf singularity. To appear in Journal of Dynamicas and Differential Equations. https://doi.org/10.1007/s10884-024-10377-4

• Jacobian curve of singular foliations. Annales de  l'Institut Fourier 75 (2025), no. 1, pp. 229-289.  DOI: 10.5802/aif.3665

• (con M. E. Hernandes y M. E. Rodrigues Hernandes) Dicritical foliations and semiroots of plane branches. Expositiones Mathematicae 45, 5 (2024) 125591. https://doi.org/10.1016/j.exmath.2024.125591

• Jacobian and polar curves of singular foliations. "Handbook of Geometry and Topology of Singularities V: Foliations". Springer (2024), pp. 223-280. https://doi.org/10.1007/978-3-031-52481-3_5

• (con F. Cano y D. Senovilla-Sanz) Analytic semiroots for plane branches and singular foliations. Bulletin of the Brazilian Mathematical Society, New Series, 54, no. 2, Paper No. 27, 49 pp. (2023)
  https://doi.org/10.1007/s00574-023-00344-w

• (con F. Cano) Logarithmic Models for Non-Dicritical Foliations. Bulletin des Sciences Mathématiques 166 (2021) 102919, 67 páginas. 
  https://doi.org/10.1016/j.bulsci.2020.102919

• (con C. Beltran y J. G. Criado del Rey) Discrete and continuous Green energy on compact manifolds. Journal of Approximation Theory 237 (2019), 160-185. https://doi.org/10.1016/j.jat.2018.09.004

• (con F. Cano y R. Mol) Local polar invariants for plane singular foliations.
   Expositiones Mathematicae 37 (2019), 145-164. doi: 10.1016/j.exmath.2018.01.003

• (con F. Sanz) Real logarithmic models for real analytic foliations in the plane.
  Revista Matemática Complutense 25 (2012), 109-124. https://doi.org/10.1007/s13163-011-0060-0
  

• (con F. Cano) Absolutely Dicritical Foliations.
  Int. Math. Res. Notices (2011) 2011 (8): 1926-1934.  doi: 10.1093/imrn/rnq142
  

• Polar pencil of curves and foliations.
  Astérisque 223 (2009), 161-179.
  

• Infinitesimal initial part of a singular foliation.
  Anais da Academia Brasileira de Ciências  81, 4 (2009),1-8. doi: 10.1590/S0001-37652009000400002
  

• Infinitesimal adjunction and polar curves.
  Bull. Braz. Math. Soc., New Series 40, 2 (2009), 81-224.  DOI: 10.1007/s00574-009-0009-9
  

• (con J.M. Casas-Mirás) On Universal Central Extensions of Leibniz Algebras.
  Communications in Algebra 37 (2009), 2104–2120. DOI: 10.1080/00927870802506234
  

• Détermination du type d'équisingularité polaire.
  C. R. Math. Acad. des Sciences Paris, Sér. I  344, 1 (2007), 33-36.
  

• (con F. Cano)  Dicritical Logarithmic Foliations.
  Publ. Mat. 50, 1 (2006), 87-102. DOI: 10.5565/PUBLMAT_50106_05
  

• (con P. Fernández-Sánchez)  Isolated Invariant Curves of a Foliation.
  Proc. Amer. Math. Soc. 134, 4 (2006), 1125-1132.
  

• Sur la topologie des courbes polaires de certains feuilletages singuliers.
  Annales del Inst. Fourier (Grenoble), 53, 3 (2003), 787-814.
  

• (con Lê Dung Trang y Clementa Alonso)  Límites de espacios tangentes en superficies.
  Monografías del Seminario Iberoamericano de Matemáticas. IIEIP. Vol. 1 (2002), 128 pp.
  

• Courbes polaires d'un feuilletage singulier.
  C. R. Acad. des Sciences de Paris sér. I Math., 331, 1 (2000), 51-54.