{"paper":{"title":"Motivic wave front sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO","math.RT"],"primary_cat":"math.AG","authors_text":"Michel Raibaut","submitted_at":"2018-10-24T18:25:00Z","abstract_excerpt":"The concept of wave front set was introduced in 1969-1970 by M. Sato in the hyperfunctions context and by L. H\\\"ormander in the $\\mathcal C^{\\infty}$ context. Howe used the theory of wave front sets in the study of Lie groups representations. Heifetz defined a notion of wave front set for distributions in the $p$-adic setting and used it to study some representations of $p$-adic Lie groups.\n  In this article, we work in the $k((t))$-setting with $k$ a characteristic zero field. In that setting, balls are no longer compact but working in a definable context provides good substitutes for finiten"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10567","kind":"arxiv","version":2},"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"}