Functorial properties of the microsupport and regularity for ind-sheaves
| dc.creator | Martins, Ana Rita | |
| dc.date | 2006-07-26 | |
| dc.date.accessioned | 2026-07-07T07:20:59Z | |
| dc.date.available | 2026-07-07T07:20:59Z | |
| dc.description | The notion of microsupport and regularity for ind-sheaves was introduced by M. Kashiwara and P. Schapira in "Microlocal study of ind-sheaves I: microsupport and regularity". In this paper we study the behaviour of the microsupport under several functorial operations and characterize "microlocally" the ind-sheaves that are regular along involutive manifolds. As an application we prove that if a coherent D-module M is regular along an involutive manifold V (in the sense of "Systems of differential equations with regular singularities and their boundary value problems") then the ind-sheaf of temperate holomorphic solutions of M is regular along V. Another application is the notion of microsupport for sheaves on the subanalytic site, which can be given directly, without using the more complicated language of ind-sheaves. | |
| dc.identifier | https://arxiv.org/abs/math/0607674 | |
| dc.identifier | http://arxiv.org/abs/math/0607674 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115144 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Functorial properties of the microsupport and regularity for ind-sheaves | |
| dc.type | text |