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We also show that the stable locus $M^s_{H,Y}(v)\\neq\\varnothing$ for $v^2>0$. Finally, we prove irreducibility of $M_{H,Y}(v)$ in case $v^2=0$ and $v$ primitive."},"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":"1406.3328","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-12T19:09:05Z","cross_cats_sorted":[],"title_canon_sha256":"071cb4e66ca74eb3564f32cd1b2597bbf57fcb39ca20b7af5c55771c5dde5d3c","abstract_canon_sha256":"b800e31fdb47478dbb8c26e8ab1810607cb7fed2ee54ce0fae06070840da1f69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:31.005275Z","signature_b64":"wSgGm9/xj5dL2lJEes3vzzVNd65As5EeD3EWg33YkGfJ1WLaXCxnUiMXHKHPsfcSN28jegHtyNPnRbByxxxXAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8631e0c7d91f3b8799d5ccab369f3f40c3ce15ac1e4e66a3db24fed73abb12f3","last_reissued_at":"2026-05-18T01:12:31.004894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:31.004894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on the existence of stable vector bundles on Enriques surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Howard Nuer","submitted_at":"2014-06-12T19:09:05Z","abstract_excerpt":"We prove the non-emptiness of $M_{H,Y}(v)$, the moduli space of Gieseker-semistable sheaves on an unnodal Enriques surface $Y$ with Mukai vector $v$ of positive rank with respect to a generic polarization $H$. This completes the chain of progress initiated by H. Kim in \\cite{Kim98}. We also show that the stable locus $M^s_{H,Y}(v)\\neq\\varnothing$ for $v^2>0$. 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