{"paper":{"title":"Mixed quasi-\\'etale surfaces, new surfaces of general type with $p_g=0$ and their fundamental group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Davide Frapporti","submitted_at":"2011-05-06T10:40:38Z","abstract_excerpt":"We call a projective surface $X$ mixed quasi-\\'etale quotient if there exists a curve $C$ of genus $g(C)\\geq 2$ and a finite group $G$ that acts on $C\\times C$ exchanging the factors such that $X=(C\\times C)/G$ and the map $C\\times C \\rightarrow X$ has finite branch locus. The minimal resolution of its singularities is called mixed quasi-\\'etale surface. We study the mixed quasi-\\'etale surfaces under the assumption that $(C\\times C)/G^0$ has only nodes as singularities, where $G^0\\triangleleft G$ is the index two subgroup of the elements that do not exchange the factors. We classify the minim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1259","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"}