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      Matematicas experimentales  [Artículo]

      Pérez Jiménez, Antonio de Jesús (Federación Española de Profesores de Matemáticas, 1992)
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      How to calculate the slopes of a D-module  [Artículo]

      Assi, Abdallah; Castro Jiménez, Francisco Jesús; Granger, Michel (Foundation Compositio Mathematica, 1996)
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      Semblanza del profesor don Gonzalo Sánchez Vázquez  [Artículo]

      Pérez Jiménez, Antonio de Jesús (Federación Española de Profesores de Matemáticas, 1997-06)
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      Combinatorics of syzygies for semigroup algebras  [Artículo]

      Briales Morales, Emilio; Pisón Casares, Pilar (Universitat de Barcelona, 1998)
      We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The ...
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      Le théorème de continuité de la division dans les anneaux d'opérateurs différentiels  [Artículo]

      Mebkhout, Zoghman; Narváez Macarro, Luis (De Gruyter, 1998)
      In this paper we prove the continuity of Weierstrass-Hironaka division of finite order linear differential operators over a complex analytic manifold X with respect to the induced topology by a canonical one of Fréchet ...
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      Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor  [Artículo]

      Calderón Moreno, Francisco Javier (Elsevier, 1999)
      We prove a structure theorem for differential operators in the 0-th term of the V-filtration relative to a free divisor. manifold. As an application, we give a formula for the logarithmic de Rham complex with respect to a ...
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      Cohomologie évanescente p-adique: calculs locaux  [Artículo]

      Gros, Michel; Narváez Macarro, Luis (Università di Padova, 2000)
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      The Gröbner fan of an An-module  [Artículo]

      Assi, Abdallah; Castro Jiménez, Francisco Jesús; Granger, Michel (Elsevier, 2000-06-14)
      Let I be a non-zero left ideal of the Weyl algebra An of order n over a field k and let L:R2n→R be a linear form defined by L(α,β)=∑i=1neiαi+∑i=1nfiβi. If ei+fi≥0, then L defines a filtration F•L on An. Let grL(I) be the ...
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      New presentations of surface braid groups  [Artículo]

      González-Meneses López, Juan (World Scientific Publishing, 2001)
      In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.
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      A computational approach to the D-module of meromorphic functions  [Artículo]

      Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (2001)
      Let D be a divisor in Cn. We present methods to compare the D-module of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.
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      Continuous division of differential operators  [Artículo]

      Hauser, Herwig; Narváez Macarro, Luis (Association des Annales de l'Institut Fourier, 2001)
      In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant ...
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      The regularity of a toric variety  [Artículo]

      Briales Morales, Emilio; Pisón Casares, Pilar (Elsevier, 2001-03-01)
      We give a method for computing the degrees of the minimal syzygies of a toric variety by means of combinatorial techniques. Indeed, we complete the explicit description of the minimal free resolution of the associated ...
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      El Año Mundial de las Matemáticas en Andalucía  [Artículo]

      Pérez Jiménez, Antonio de Jesús (Federación Española de Profesores de Matemáticas, 2001-06)
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      On the dimension of discrete valuations of k ((X1, ..., Xn))  [Artículo]

      Olalla Acosta, Miguel Ángel (Elsevier, 2001-07-01)
      Let v be a rank-one discrete valuation of the field Kn=k((X1,…,Xn)). We know, after [1], that if n=2 then the dimension of v is 1 and if v is the usual order function over k((X1,…,Xn)) its dimension is n−1. In this paper ...
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      The Kronecker product of Schur functions indexed by two-row shapes or hook shapes  [Artículo]

      Rosas Celis, Mercedes Helena (Springer, 2001-09)
      The Kronecker product of two Schur functions sµ and sν, denoted by sµ ∗ sν, is the Frobenius characteristic of the tensor product of the irreducible representations of the symmetric group corresponding to the partitions ...
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      The analytic standard fan of a D-module  [Artículo]

      Assi, Abdallah; Castro Jiménez, Francisco Jesús; Granger, Michel (Elsevier, 2001-10-24)
      We extend to the analytic D-module case our results in the algebraic case, namely, we associate with any monogeneous module over the ring D of germs of linear differential operators at the origin of Cn, with holomorphic ...
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      MacMahon symmetric functions, the partition lattice, and young subgroups  [Artículo]

      Rosas Celis, Mercedes Helena (Elsevier, 2001-11)
      A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are ...
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      Presentations for the monoids of singular braids on closed surfaces  [Artículo]

      González-Meneses López, Juan (Taylor & Francis, 2002)
      We give presentations, in terms of generators and relations, for the monoids SBn(M) of singular braids on closed surfaces. The proof of the validity of these presentations can also be applied to verify, in a new way, the ...
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      Free divisors and duality for D-modules  [Artículo]

      Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Pleiades, 2002)
      The relationship between D-modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. Using the ideas of these works we prove in this article a duality formula between two D-modules ...
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      Locally quasi-homogeneous free divisors are Koszul free  [Artículo]

      Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (MAIK Nauka/Interperiodica, 2002)
      Let X be a complex analytic manifold and D ⊂ X be a free divisor. If D is locally quasi-homogeneous, then the logarithmic de Rham complex associated to D is quasi-isomorphic to Rj∗(CX\D), which is a perverse sheaf. On the ...