Now showing items 1-9 of 9

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      Algebraic computation of some intersection D-modules  [Article]

      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 with respect to D and L the local system of the horizontal sections of E on X − D. In this ...
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      Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres  [Article]

      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 seen as locally free {\cal O}_X-modules endowed with a (left) module structure over the ring of logarithmic ...
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      Es imposible descomponer un cubo en dos cubos  [Final Degree Work]

      Barragán Borja, Enrique (2018)
      The objective of this work is to study the proof of Fermat’s last theorem. We study some trivial cases of Fermat’s last theorem, Sophie Germain’s theorem, which established the first case of Fermat’s theorem, and we also ...
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      Locally quasi-homogeneous free divisors are Koszul free  [Article]

      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 ...
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      Logarithmic cohomology of the complement of a plane curve  [Article]

      Calderón Moreno, Francisco Javier; Mond, David; Narváez Macarro, Luis; Castro Jiménez, Francisco Jesús (Springer, 2002-03)
      Let D, x be a plane curve germ. We prove that the complex Ω•(log D)x computes the cohomology of the complement of D, x only if D is quasihomogeneous. This is a partial converse to a theorem of F.J. Castro-Jiménez, D. Mond ...
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      Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor  [Article]

      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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      On the logarithmic comparison theorem for integrable logarithmic connections  [Article]

      Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (London Mathematical Society, 2009)
      Let X be a complex analytic manifold, D ⊂ X a free divisor with jacobian ideal of linear type (e.g. a locally quasi-homogeneous free divisor), j : U = X − D ֒→ X the corresponding open inclusion, E an integrable logarithmic ...
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      Operadores diferenciales logarítmicos con respecto a un divisor libre  [Doctoral Thesis]

      Calderón Moreno, Francisco Javier (1997)
      En esta memoria estudiamos la V-filtración relativa a divisores libres en una variedad analítica compleja lisa de dimensión arbitraria. Más concretamente abordamos la estructura de los operadores diferenciales en el término ...
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      The module Dfs for locally quasi-homogeneous free divisors  [Article]

      Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (Springer, 2002-10)
      We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous ...