{"paper":{"title":"Microsupport of tempered solutions of D-Modules associated to smooth morphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.AG","authors_text":"Teresa Monteiro Fernandes","submitted_at":"2008-08-06T17:36:19Z","abstract_excerpt":"Let $f:X\\to Y$ be a smooth morphism of complex analytic manifolds and let $F$ be an $\\mathbb{R}$-constructible complex on $Y$. Let $\\cal{M}$ be a coherent $\\shd_X$-module. We prove that the microsupport of the solution complex of $\\shm$ in the tempered holomorphic functions $t \\shh \\text{om} (f^{-1} F, \\sho_X)$, is contained in the 1-characteristic variety of $\\cal{M}$ associated to $f$, and that the microsupport of the solution complex in the tempered microfunctions $t\\mu hom(f^{-1}F, \\sho_X)$ is contained in the 1-microcharacteristic variety of the microlocalized of $\\shm$ along $T^*Y\\times_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.0887","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}