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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_"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0808.0887","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-08-06T17:36:19Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"b157595f96e08ce857d05aeab017cee587429b263fa08decf8f0ca3ffd4e8e0e","abstract_canon_sha256":"0fdd1a9d69c3ba79375eaf84c5ca2019add7eb8380544a4b21d1bb47f0dc7a38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:27.235699Z","signature_b64":"cRN5ah5QkcOqIGKP/cc96Z0QUwZ+AmgR/l9m8QAwxRiOcUWKCsPWVBoQX032cJzNGbq1kDZbsGOYZVLFRAlYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ed082c797bf10cc585ee56f1d979590542b3442514c215f073fd32b9b079117","last_reissued_at":"2026-05-18T03:36:27.235261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:27.235261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $Y$. 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