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When a curve $C$ of negative self-intersection is present, $L$ is destabilized by $L(-C)$ for some stability conditions. We conjecture that line bundles of the form $L(-C)$ are the only objects that can destabilize $L$, and that torsion sheaves of the form $L(C)|_C$ are the onl"},"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":"1401.6149","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-23T20:20:05Z","cross_cats_sorted":[],"title_canon_sha256":"978e57b090798e9a68881fb98887576c0f7cecfb9707c6409c056b52452e5683","abstract_canon_sha256":"4343b1d83f7f22dd0bfd99354d51b697674da50b8a4518e277ae6bd4259f4011"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:07.840247Z","signature_b64":"Qpd8iia10YxdOKTGuq64lc8KHtBB0PERH1F/x6+BfKlyYQp1xjYT5qbQw19N7sViplxmgEx8QBdH+WgeWDLtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4004a673533383737fa544d9d9e4e365110e5097c5b91c9881c7d51e55c7c223","last_reissued_at":"2026-05-18T01:33:07.839803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:07.839803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bridgeland Stability of Line Bundles on Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniele Arcara, Eric Miles","submitted_at":"2014-01-23T20:20:05Z","abstract_excerpt":"We study the Bridgeland stability of line bundles on surfaces using Bridgeland stability conditions determined by divisors. 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