Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors

In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new linearity conditions on the Jacobian ideal which arise in this setting.

Detalles Bibliográficos
Autor: Narváez Macarro, Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/139169
Acceso en línea:https://hdl.handle.net/11441/139169
https://doi.org/10.48550/arXiv.0804.2219
Access Level:acceso abierto
Palabra clave:Free divisor
Jacobian ideal
logarithmic forms
D-module
Bernstein polynomial
Descripción
Sumario:In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new linearity conditions on the Jacobian ideal which arise in this setting.