Filtered restriction of geometric D-modules
Abstract
In D-module theory, we have the notion of the restriction of a module along a smooth variety. T. Oaku and N. Takayama have described a process to compute the restriction, which starts from a free resolution adapted to the V-filtration of Kashiwara-Malgrange. By using the theory of free resolutions adapted to the (order and V)-bifiltration (from T. Oaku , N. Takayama and M. Granger), we endow the restriction with an order filtration and we show that the process of Oaku and Takayama respects the order filtration. In consequence, we compute a minimal presentation of the algebraic local cohomology module associated with a quasi-homogeneous polynomial with an isolated singularity, viewed as a D-module and endowed with a kind of a pole order filtration.
Keywords
Cite
@article{arxiv.1201.4259,
title = {Filtered restriction of geometric D-modules},
author = {Rémi Arcadias},
journal= {arXiv preprint arXiv:1201.4259},
year = {2012}
}