{"paper":{"title":"Sur la dimension de l'ensemble des points base du fibre determinant sur l'espace des modules des fibres vectoriels semi stables sur une courbe","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Olivier Schneider","submitted_at":"2005-01-20T10:56:46Z","abstract_excerpt":"Resume Soit SU_C(r) l'espace des modules des fibr\\'es vectoriels semi-stables de d\\'eterminant trivial sur une courbe lisse $C$ de genre $g \\geq 2$ sur $\\mathbb{C}$. On \\'etudie dans cet article, un exemple de fibr\\'e introduit par Raynaud dans ~\\cite{R}, ne poss\\'edant pas de diviseur th\\^eta. On construit ensuite des extensions stables de ce fibr\\'e ce qui conduit \\`a une majoration de la codimension du lieu de base du fibr\\'e d\\'eterminant sur $\\mathcal{SU}_{C}(r)$.\n  Abstract Let $\\mathcal{SU}_{C}(r)$ be the moduli space of semi stable bundles with trivial determinant on a smooth curve $C$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0501320","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0501320/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}