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For any positive integers $n$ and $r$, let ${\\mathcal Q}_{{\\mathcal O}^{\\oplus n}_C}(nr)$ be the Quot scheme parametrizing all the torsion quotients of ${\\mathcal O}^{\\oplus n}_C$ of degree $nr$. We prove that ${\\mathcal Q}_{{\\mathcal O}^{\\oplus n}_C}(nr)$ has the weak point property."},"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":"1502.07626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-26T16:36:25Z","cross_cats_sorted":[],"title_canon_sha256":"7449426f74914ebf16ce335bd0d92488c1249e2d6685a57fa7277f8247fb32b5","abstract_canon_sha256":"bf4197d1f2e5ba6e7239b3df09c64a53aaaac6c97aba36f1f34cc88577f60e32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:03.254097Z","signature_b64":"tc7Yacbgrz2UfVt3DHLfogQbt/OfREgRoNbEU+Af9uC6jKqqq8lUmWI6sMG0eEM5bchYEbBfB7f1aZ2QhO/aAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b8c4e12ac7ba2b7469de6fb218c6f78f7b5e89def3a6b0777854a5c24599162","last_reissued_at":"2026-05-18T02:26:03.253688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:03.253688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diagonal property of the symmetric product of a smooth curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Sanjay Kumar Singh","submitted_at":"2015-02-26T16:36:25Z","abstract_excerpt":"Let $C$ be an irreducible smooth projective curve defined over an algebraically closed field. We prove that the symmetric product ${\\rm Sym}^d(C)$ has the diagonal property for all $d \\geq 1$. For any positive integers $n$ and $r$, let ${\\mathcal Q}_{{\\mathcal O}^{\\oplus n}_C}(nr)$ be the Quot scheme parametrizing all the torsion quotients of ${\\mathcal O}^{\\oplus n}_C$ of degree $nr$. 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