An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28
- Авторы: Platonov V.1, Fedorov G.1
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Учреждения:
- Scientific Research Institute for System Analysis
- Выпуск: Том 98, № 2 (2018)
- Страницы: 468-471
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225559
- DOI: https://doi.org/10.1134/S1064562418060182
- ID: 225559
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Аннотация
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.
Об авторах
V. Platonov
Scientific Research Institute for System Analysis
Автор, ответственный за переписку.
Email: platonov@niisi.ras.ru
Россия, Moscow, 117218
G. Fedorov
Scientific Research Institute for System Analysis
Email: platonov@niisi.ras.ru
Россия, Moscow, 117218