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It is shown that the connected component of $\\text{Aut}( {\\mathcal Q}_X(r,d_p,d_z))$ containing the identity automorphism is $\\text{PGL}(r,{\\mathbb C})$. As an application of it, we prove that if the generalized quot schemes of two Riemann surfaces are holomorphically isomorphic, then the two Riemann su"},"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":"1601.04576","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-18T15:38:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"50a5b0bce2772f3ef77c8f6502cef011875330659ff6a50cb5a88c529c8233bf","abstract_canon_sha256":"0af43a3e94b1666f74ff72e9861358f0f7cfbaa3444050c96ac9ee4e3e6a2c6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:44.694363Z","signature_b64":"rMayDha9rJXEU0Oakcsj9xNanNH4BwUDtAdZq9Q7+4j+Ij4vCVRrev3QKx94tRBTEEXNQLy/jpKHpLC3Z12WDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"748b4c45ea4eeaef61c10e465afe281e745aabb034a1d26247321f68dd6ea90a","last_reissued_at":"2026-05-18T01:22:44.693722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:44.693722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphisms of the generalized quot schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Sukhendu Mehrotra","submitted_at":"2016-01-18T15:38:43Z","abstract_excerpt":"Given a compact connected Riemann surface $X$ of genus $g \\geq 2$, and integers $r\\geq 2$, $d_p > 0$ and $d_z > 0$, in \\cite{BDHW}, a generalized quot scheme ${\\mathcal Q}_X(r,d_p,d_z)$ was introduced. 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