{"paper":{"title":"Surfaces de stein associ\\'ees aux surfaces de kato interm\\'ediaires","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Laurent Battisti","submitted_at":"2010-07-30T14:38:04Z","abstract_excerpt":"Let $S$ be an intermediate Kato surface, $D$ the divisor consisting of all rational curves of $S$, $\\widetilde{S}$ the universal covering of $S$ and $\\widetilde{D}$ the preimage of $D$ in $\\widetilde{S}$. We prove two results about the surface $\\widetilde{S}\\setminus \\widetilde{D}$: it is Stein (which was already known when $S$ is either a Enoki or a Inoue-Hirzebruch surface) and we give a necessary and sufficient condition so that its holomorphic tangent bundle is holomorphically trivialisable. ----- Soient $S$ une surface de Kato interm\\'ediaire, $D$ le diviseur form\\'e des courbes rationnel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.5461","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"}