Artículo
Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
Autor/es | Calderón Moreno, Francisco Javier
Narváez Macarro, Luis |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2005 |
Fecha de depósito | 2016-07-04 |
Publicado en |
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Resumen | 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 ... 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 differential operators {\cal D}_X(\log D). In this paper we study two related results: the relationship between the duals of any integrable logarithmic connection over the base rings {\cal D}_X and {\cal D}_X(\log D), and a differential criterion for the logarithmic comparison theorem. We also generalize a formula of Esnault-Viehweg in the normal crossing case for the Verdier dual of a logarithmic de Rham complex. |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Identificador del proyecto | BFM2001-3207 |
Cita | Calderón Moreno, F.J. y Narváez Macarro, L. (2005). Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres. Annales de l'Institut Fourier, 55 (1), 47-75. |
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