Truncated microsupport and hyperbolic inequalities
| dc.creator | Martins, Ana Rita | |
| dc.creator | Fernandes, Teresa Monteiro | |
| dc.date | 2005-06-21 | |
| dc.date | 2005-07-21 | |
| dc.date.accessioned | 2026-07-07T05:20:54Z | |
| dc.date.available | 2026-07-07T05:20:54Z | |
| dc.description | We prove that the k-truncated microsupport of the specialization of a complex of sheaves $F$ along a submanifold is contained in the normal cone to the conormal bundle along the k-truncated microsupport of $F$. In the complex case, applying our estimates to $F=\text{R}\cal{H}\text{om}_{\cal{D}}(\cal{M}, \sho)$, where $\cal{M}$ is a coherent $\cal{D}$-module, we obtain new estimates for the truncated microsupport of real analytic and hyperfunction solutions. When $\cal{M}$ is regular along $Y$ we also obtain estimates for the truncated microsupport of the holomorphic solutions of the induced system along $Y$ as well as for the nearby-cycle sheaf of $\shm$ when $Y$ is a hypersurface. | |
| dc.description | Corollary 1.8 is improved, corollary 1.9 is supressed, some minor changes of redaction | |
| dc.identifier | https://arxiv.org/abs/math/0506436 | |
| dc.identifier | http://arxiv.org/abs/math/0506436 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75549 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35A27, 32C38 | |
| dc.title | Truncated microsupport and hyperbolic inequalities | |
| dc.type | text |