An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28
- Авторлар: Platonov V.1, Fedorov G.1
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Мекемелер:
- Scientific Research Institute for System Analysis
- Шығарылым: Том 98, № 2 (2018)
- Беттер: 468-471
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225559
- DOI: https://doi.org/10.1134/S1064562418060182
- ID: 225559
Дәйексөз келтіру
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.
Авторлар туралы
V. Platonov
Scientific Research Institute for System Analysis
Хат алмасуға жауапты Автор.
Email: platonov@niisi.ras.ru
Ресей, Moscow, 117218
G. Fedorov
Scientific Research Institute for System Analysis
Email: platonov@niisi.ras.ru
Ресей, Moscow, 117218