Article
On the logarithmic comparison theorem for integrable logarithmic connections
Author/s | Calderón Moreno, Francisco Javier
Narváez Macarro, Luis |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2009 |
Deposit Date | 2016-07-04 |
Published in |
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Abstract | 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 ... 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 connection with respect to D and L the local system of the horizontal sections of E on U. In this paper we prove that the canonical morphisms Ω • X(log D)(E(kD)) −→ Rj∗L, j!L −→ Ω • X(log D)(E(−kD)) are isomorphisms in the derived category of sheaves of complex vector spaces for k ≫ 0 (locally on X). |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | MTM2004-07203-C02-01 |
Citation | Calderón Moreno, F.J. y Narváez Macarro, L. (2009). On the logarithmic comparison theorem for integrable logarithmic connections. Proceedings of the London Mathematical Society, 98 (3), 585-606. |
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