{"paper":{"title":"A note on some fiber-integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Daniel Barlet","submitted_at":"2015-12-22T12:47:51Z","abstract_excerpt":"We remark that the study of a fiber-integral of the type F (s) := f =s ($\\omega$/df) $\\land$ ($\\omega$/df) either in the local case where $\\rho$ $\\not\\equiv$ 1 around 0 is C $\\infty$ and compactly supported near the origin which is a singular point of {f = 0} in C n+1 , or in a global setting where f : X $\\rightarrow$ D is a proper holomorphic function on a complex manifold X, smooth outside {f = 0} with $\\rho$ $\\not\\equiv$ 1 near {f = 0}, for given holomorphic (n+1)--forms $\\omega$ and $\\omega$' , that a better control on the asymptotic expansion of F when s $\\rightarrow$ 0, is obtained by us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07062","kind":"arxiv","version":1},"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"}