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On the Parametrization of Hyperelliptic Fields with S-Unitsof Degrees 7 and 9статья
- Авторы: Fedorov G.V., Zhgoon V.S., Petrunin M.M., Shteinikov Yu N.
- Журнал: Mathematical Notes
- Том: 112
- Номер: 3
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 451
- Последняя страница: 457
- DOI: 10.1134/S0001434622090139
- Аннотация: We show that if k is an algebraically closed field with char k = 0, then the set of polynomials f of degree 5 such that the field k(x)(√f ) has a nontrivial S-unit of degree 7 or 9 and the continued fraction expansion of √f /x is periodic is a one-parameter set corresponding to a rational curve with finitely many deleted points.
- Добавил в систему: Федоров Глеб Владимирович