Rational points in the moduli space of genus two

Contemporary Mathematics

dc.creatorBeshaj, Lubjana
dc.creatorHidalgo-Ortega, Rubén Antonio
dc.creatorKruk, Serge
dc.creatorMalmendier, Andreas
dc.creatorQuispe, Santander
dc.creatorShaska, Tony
dc.date2021-08-23T22:55:49Z
dc.date2022-07-07T02:33:39Z
dc.date2021-08-23T22:55:49Z
dc.date2022-07-07T02:33:39Z
dc.date2018
dc.date.accessioned2023-08-22T22:41:25Z
dc.date.available2023-08-22T22:41:25Z
dc.identifier1150003
dc.identifier1150003
dc.identifierhttps://hdl.handle.net/10533/251693
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8348005
dc.descriptionWe build a database of genus 2 curves defined over Q which contains all curves with minimal absolute height h ≤ 5, all curves with moduli height h ≤ 20, and all curves with extra automorphisms in standard form y2 = f(x2) defined over Q with height h ≤ 101. For each isomorphism class in the database, an equation over its minimal field of definition is provided, the automorphism group of the curve, Clebsch and Igusa invariants. The distribution of rational points in the moduli spaceM2 for which the field of moduli is a field of definition is discussed and some open problems are presented.
dc.descriptionRegular 2015
dc.descriptionFONDECYT
dc.descriptionFONDECYT
dc.languageeng
dc.relationhandle/10533/111557
dc.relationhandle/10533/111541
dc.relationhandle/10533/108045
dc.relationhttps://doi.org/10.1090/conm/703/14132
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsinfo:eu-repo/semantics/article
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleRational points in the moduli space of genus two
dc.titleContemporary Mathematics
dc.typeArticulo
dc.typeinfo:eu-repo/semantics/publishedVersion


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