{"paper":{"title":"On Semi-isogenous mixed surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Davide Frapporti, Nicola Cancian","submitted_at":"2015-10-30T12:27:21Z","abstract_excerpt":"Let $C$ be a smooth projective curve and $G$ a finite subgroup of $\\mathrm{Aut}(C)^2\\rtimes \\mathbb Z_2$ whose action is \\textit{mixed}, i.e.~there are elements in $G$ exchanging the two isotrivial fibrations of $C\\times C$. Let $G^0\\triangleleft G$ be the index two subgroup $G\\cap\\mathrm{Aut}(C)^2$. If $G^0$ acts freely, then $X:=(C\\times C)/G$ is smooth and we call it \\textit{semi-isogenous mixed surface}. In this paper we give an algorithm to determine semi-isogenous mixed surfaces with given geometric genus, irregularity and self-intersection of the canonical class. As an application we cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09055","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"}