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For $k>0$ and $d\\gg 0$ we compute the Picard group of $\\mathcal{Q}$."},"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":"2210.17179","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-10-31T09:50:16Z","cross_cats_sorted":[],"title_canon_sha256":"fce27ba816abc19dcff11c2a0a8ae0c79063c64632950ac5ca780ff7208704f9","abstract_canon_sha256":"8506dc0b7c5f7a0215359b3b5a5764cacc3eff54bcd1cc06035191010b68fd31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:49:29.039817Z","signature_b64":"4sP0R74vsQLuEk3k4jHS0k46VzTQOpGzYF4TzZPi+HWGR5PObVYxXo4cx3KF3+0UVpZbNU5ffI9mMTVYdMPuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8bf191dacf95f20226f378061df5a27a5e93021304563166624cb182183b62c","last_reissued_at":"2026-07-05T07:49:29.039320Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:49:29.039320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Picard Groups of Some Quot Schemes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Chandranandan Gangopadhyay, Ronnie Sebastian","submitted_at":"2022-10-31T09:50:16Z","abstract_excerpt":"Let $C$ be a smooth projective curve over the field of complex numbers $\\mathbb{C}$ of genus $g(C)>0$. Let $E$ be a locally free sheaf on $C$ of rank $r$ and degree $e$. Let $\\mathcal{Q}:={\\rm Quot}_{C/\\mathbb{C}}(E,k,d)$ denote the Quot scheme of quotients of $E$ of rank $k$ and degree $d$. 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