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      Algebraic computation of some intersection D-modules 

      Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (Springer, 2006)
      Let X be a complex analytic manifold, D ⊂ X a locally quasi-homogeneous free divisor, E an integrable logarithmic connection ...
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      Bases for Projective modules in An(k) 

      Gago Vargas, Manuel Jesús (2003-12)
      Let $A_n(k)$ be the Weyl algebra, with $k$ a field of characteristic zero. It is known that every projective finitely ...
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      Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials 

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2005)
      Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds ...
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      Computational methods in algebra and analysis 

      Castro Jiménez, Francisco Jesús (Sociedad Española de Matemática Aplicada, 2007-09)
      This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the ...
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      Continuous division of linear differential operators and faithful flatness of D∞X over DX 

      Narváez Macarro, Luis; Rojas León, Antonio (Société Mathématique de France, 2004)
      In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf ...
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      Correspondance de Howe explicite: paires duales de type II 

      Mínguez Espallargas, Alberto (Société Mathématique de France, 2008)
      Dans cet article, nous proposons une nouvelle méthode pour démontrer la bijectivité de la correspondance de Howe pour les ...
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      Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres 

      Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (Association des Annales de l'Institut Fourier, 2005)
      Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be ...
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      Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero 

      Piedra Sánchez, Ramón; Tornero Sánchez, José María (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 2004)
      The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern.In this paper we explore how it changes by blowing–up.
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      Explicit models for perverse sheaves 

      Gudiel Rodríguez, Félix; Narváez Macarro, Luis (European Mathematical Society, 2003)
      We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process ...
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      Minimal resolutions of lattice ideals and integer linear programming 

      Briales Morales, Emilio; Campillo López. Antonio; Pisón Casares, Pilar; Vigneron Tenorio, Alberto (European Mathematical Society, 2003)
      A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer ...
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      On the singular braid monoid of an orientable surface 

      Díaz Cantos, Jerónimo; González-Meneses López, Juan; Tornero Sánchez, José María (American Mathematical Society, 2004)
      In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
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      On the structure of the centralizer of a braid 

      González-Meneses López, Juan (Elsevier, 2004)
      The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base ...
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      Sur l’irréductibilité d’une induite parabolique 

      Mínguez Espallargas, Alberto (De Gruyter, 2009)
      Let F be a non-Archimedean locally compact field and let D be a central division algebra over F. Let p1 and p2 be respectively ...
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      The nth root of a braid is unique up to conjugacy 

      González-Meneses López, Juan (Mathematical Sciences Publishers, 2003-11-01)
      We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification of braids.
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      Valuations in fields of power series 

      Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (European Mathematical Society, 2003)
      This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe ...