✦ LIBER ✦

On Rational Points of Algebraic Curves of Genus One

✍ Scribed by K. Nagashima

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 555 KB
Volume: 173
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1995.1102

No coin nor oath required. For personal study only.

✦ Synopsis

Tate proved a theorem on rational points of torsors ("Torsors" means "Homogeneous spaces," in sequel we use "torsors" in this meaning) of (T / K), where (K) is a local field, (T) is a Tate curve. In this paper we extend the above theorem to the case where (T) is a twist of a Tate curve, and apply our results to the global case.

(2) 1995 Academic Press. Inc

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