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Computer search for curves with many points among abelian covers of genus 2 curves
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)In: Contemporary Mathematics, ISSN 0271-4132, E-ISSN 1098-3627, Vol. 574, 145-150 p.Article in journal (Refereed) Published
Abstract [en]

Using class field theory one associates to each curve C over a finitefield, and each subgroup G of its divisor class group, unramified abelian covers of C whose genus is determined by the index of G. By listing class groups of curves of small genus one may get examples of curves with many points; we do this for all curves of genus 2 over the fields of cardinality 5,7,9,11,13 and 16, giving new entries for the tables of curves with many points.

Place, publisher, year, edition, pages
2012. Vol. 574, 145-150 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-88854DOI: 10.1090/conm/574/11422OAI: oai:DiVA.org:su-88854DiVA: diva2:614213
Conference
13th Conference Arithmetic, Geometry, Cryptography and Coding Theory CIRM, Marseille, France, March 14–18, 2011; Geocrypt 2011, Bastia, France, June 19–24, 2011
Available from: 2013-04-03 Created: 2013-04-03 Last updated: 2017-12-06Bibliographically approved

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Publisher's full textarXiv:1106.5176

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