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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 $C$"},"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":"math/0501320","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-01-20T10:56:46Z","cross_cats_sorted":[],"title_canon_sha256":"1c30d03440e6595e67f68e7a4ab1f744968dac8887fae073a1812f7df7895eed","abstract_canon_sha256":"eeb0141548a332a8c1078567bc6333fafcebc057cdbdea90a2aee47595c2d593"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:39:32.538304Z","signature_b64":"AUg4N/mVKwlUBdOpLbNH9sVZwCBK4Z/g0dAixhnQnGhvdd5EgASQyQCxFbjuhpyUPO5n6JYtU7L638fX5WavDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c33c47ca3a71222b866049bb202b0611bcd3bf9784d06556c1c92f2e76ffccbc","last_reissued_at":"2026-07-04T14:39:32.537919Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:39:32.537919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $\\mathbb{C}$. 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