{"paper":{"title":"On automorphisms of algebraic curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. Broughton, A. Wootton, T. Shaska","submitted_at":"2018-07-08T02:57:54Z","abstract_excerpt":"An irreducible, algebraic curve $\\mathcal X_g$ of genus $g\\geq 2$ defined over an algebraically closed field $k$ of characteristic $\\mbox{char } \\, k = p \\geq 0$, has finite automorphism group $\\mbox{Aut} (\\mathcal X_g)$. In this paper we describe methods of determining the list of groups $\\mbox{Aut} (\\mathcal X_g)$ for a fixed $g\\geq 2$. Moreover, equations of the corresponding families of curves are given when possible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02742","kind":"arxiv","version":1},"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"}