{"work":{"id":"e196facb-8737-4aed-a0a3-c4f21c50647b","openalex_id":null,"doi":null,"arxiv_id":"1806.11054","raw_key":null,"title":"Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations","authors":null,"authors_text":null,"year":2018,"venue":"math.RA","abstract":"Let $G$ be a semiabelian variety defined over a field of characteristic $0$, endowed with an endomorphism $\\Phi$. We prove there is no proper subvariety $Y\\subset G$ which intersects the orbit of each periodic point of $G$ under the action of $\\Phi$. As an application, we are able to give a topological characterization of the annihilator ideals of irreducible representations in certain skew polynomial algebras.","external_url":"https://arxiv.org/abs/1806.11054","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-02T09:46:49.226211+00:00","pith_arxiv_id":"1806.11054","created_at":"2026-05-17T20:50:14.873353+00:00","updated_at":"2026-07-02T09:46:49.226211+00:00","title_quality_ok":true,"display_title":"Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations","render_title":"Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations"},"hub":{"state":{"work_id":"e196facb-8737-4aed-a0a3-c4f21c50647b","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":17,"external_cited_by_count":null,"distinct_field_count":2,"first_pith_cited_at":"2019-06-24T03:40:43+00:00","last_pith_cited_at":"2026-07-01T13:24:29+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-07-03T13:14:22.367931+00:00","tier_text":"hub"},"tier":"hub","role_counts":[],"polarity_counts":[],"runs":{},"summary":{},"graph":{},"authors":[]}}