{"paper":{"title":"Algebraic and o-minimal flows on complex and real tori","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO","math.NT"],"primary_cat":"math.AG","authors_text":"Sergei Starchenko, Ya'acov Peterzil","submitted_at":"2017-01-31T15:14:03Z","abstract_excerpt":"We consider the covering map $\\pi:\\mathbb{C}^n\\to \\mathbb{T}$ of a compact complex torus. Given an algebraic variety $X\\subseteq \\mathbb{C}^n$ we describe the topological closure of $\\pi(X)$ in $\\mathbb T$. We obtain a similar description when $\\mathbb{T}$ is a real torus and $X\\subseteq \\mathbb{R}^n$ is a set definable in an o-minimal structure over the reals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.09080","kind":"arxiv","version":2},"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"}