{"paper":{"title":"Visible actions on symmetric spaces","license":"","headline":"","cross_cats":["math.RT"],"primary_cat":"math.DG","authors_text":"Toshiyuki Kobayashi","submitted_at":"2006-06-30T23:17:38Z","abstract_excerpt":"A visible action on a complex manifold is a holomorphic action that admits a $J$-transversal totally real submanifold $S$.\n  It is said to be strongly visible if there exists an orbit-preserving anti-holomorphic diffeomorphism $\\sigma$ such that $\\sigma |_S = \\mathrm{id}$.\n  In this paper, we prove that for any Hermitian symmetric space $D = G/K$ the action of any symmetric subgroup $H$ is strongly visible.\n  The proof is carried out by finding explicitly an orbit-preserving anti-holomorphic involution and a totally real submanifold $S$.\n  Our geometric results provide a uniform proof of vario"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0607005","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"}