An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28
- Autores: Platonov V.P.1, Fedorov G.V.1
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Afiliações:
- Scientific Research Institute for System Analysis
- Edição: Volume 98, Nº 2 (2018)
- Páginas: 468-471
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225559
- DOI: https://doi.org/10.1134/S1064562418060182
- ID: 225559
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Resumo
We have found an infinite family of nonisomorphic hyperelliptic curves of genus two over the field of rational numbers whose Jacobian varieties contain rational points of order 28. Previously, only 10 such curves were known.
Sobre autores
V. Platonov
Scientific Research Institute for System Analysis
Autor responsável pela correspondência
Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218
G. Fedorov
Scientific Research Institute for System Analysis
Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218
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