{"paper":{"title":"\\'Etale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of Abelian varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Greb, Stefan Kebekus, Thomas Peternell","submitted_at":"2013-07-22T14:06:12Z","abstract_excerpt":"Given a quasi-projective variety X with only Kawamata log terminal singularities, we study the obstructions to extending finite \\'etale covers from the smooth locus $X_{\\mathrm{reg}}$ of $X$ to $X$ itself. A simplified version of our main results states that there exists a Galois cover $Y \\rightarrow X$, ramified only over the singularities of $X$, such that the \\'etale fundamental groups of $Y$ and of $Y_{\\mathrm{reg}}$ agree. In particular, every \\'etale cover of $Y_{\\mathrm{reg}}$ extends to an \\'etale cover of $Y$.\n  As first major application, we show that every flat holomorphic bundle de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5718","kind":"arxiv","version":3},"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"}