{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86885"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86885","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Rigid Analytic Uniformization of Hyperelliptic Curves","abstract":"We describe a method for approximating the Mumford curve model O/Gamma of a given totally split hyperelliptic curve y2 = i=12g+2x-a i . Once the generators of the Schottky group Gamma are obtained, we also explain how to use them to compute the period lattice of the Jacobian of the curve.","abstract_html":"We describe a method for approximating the Mumford curve model O/Gamma of a given totally split hyperelliptic curve y2 = i=12g+2x-a i . 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