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For $n\\,\\geq\\, 4$, we construct a smooth compactification of ${\\rm PSL}(n, \\mathbb C)/T$ as a geometric invariant theoretic quotient of the wonderful compactification $\\overline{{\\rm PSL}(n, \\mathbb C)}$ for a suitable choice of $T$--linearized ample line bundle on $\\overline{{\\rm PSL}(n, \\mathbb C)}$. We also prove that the connected component, containing the identity element, of the automorphism group of this compactification of ${\\rm PSL}(n, \\mathbb C)/T$ is ${\\rm PSL}(n, \\mathbb C)$ itself."},"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":"1501.04031","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-16T16:20:28Z","cross_cats_sorted":[],"title_canon_sha256":"6f1ce6a008bcb577e3e01f85a1dbc2e36123ebb2d9a749a96f77c88946a0f337","abstract_canon_sha256":"9de7d7ed320d40e4b50c58bc841675618be902a0da6db83ec534ea02ba2b37f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:03.763471Z","signature_b64":"4KzUC+PI0DcibAwhezusHbxmBzn3sLUwli8uWsndLWZIg3rq8181a0HgKCVZmiQ75c6XFFLXJQXT8RqErzFtDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b08a0e9d4fd7dc119735213083b608b576d90a8b220cf3a44e805b653d586af","last_reissued_at":"2026-05-18T01:19:03.762827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:03.762827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a smooth compactification of PSL(n, C)/T","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"D. S. Nagaraj, Indranil Biswas, S. Senthamarai Kannan","submitted_at":"2015-01-16T16:20:28Z","abstract_excerpt":"Let $T$ be a maximal torus of ${\\rm PSL}(n, \\mathbb C)$. For $n\\,\\geq\\, 4$, we construct a smooth compactification of ${\\rm PSL}(n, \\mathbb C)/T$ as a geometric invariant theoretic quotient of the wonderful compactification $\\overline{{\\rm PSL}(n, \\mathbb C)}$ for a suitable choice of $T$--linearized ample line bundle on $\\overline{{\\rm PSL}(n, \\mathbb C)}$. We also prove that the connected component, containing the identity element, of the automorphism group of this compactification of ${\\rm PSL}(n, \\mathbb C)/T$ is ${\\rm PSL}(n, \\mathbb C)$ itself."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04031","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.04031","created_at":"2026-05-18T01:19:03.762913+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.04031v1","created_at":"2026-05-18T01:19:03.762913+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04031","created_at":"2026-05-18T01:19:03.762913+00:00"},{"alias_kind":"pith_short_12","alias_value":"NMEKB2OU7V64","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"NMEKB2OU7V64CGLT","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"NMEKB2OU","created_at":"2026-05-18T12:29:32.376354+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN","json":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN.json","graph_json":"https://pith.science/api/pith-number/NMEKB2OU7V64CGLTKIJQQO3ARN/graph.json","events_json":"https://pith.science/api/pith-number/NMEKB2OU7V64CGLTKIJQQO3ARN/events.json","paper":"https://pith.science/paper/NMEKB2OU"},"agent_actions":{"view_html":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN","download_json":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN.json","view_paper":"https://pith.science/paper/NMEKB2OU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.04031&json=true","fetch_graph":"https://pith.science/api/pith-number/NMEKB2OU7V64CGLTKIJQQO3ARN/graph.json","fetch_events":"https://pith.science/api/pith-number/NMEKB2OU7V64CGLTKIJQQO3ARN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN/action/storage_attestation","attest_author":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN/action/author_attestation","sign_citation":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN/action/citation_signature","submit_replication":"https://pith.science/pith/NMEKB2OU7V64CGLTKIJQQO3ARN/action/replication_record"}},"created_at":"2026-05-18T01:19:03.762913+00:00","updated_at":"2026-05-18T01:19:03.762913+00:00"}