The Artin effect in elliptic curves.~I

O. N. Vvedenskii

Izvestiya. Mathematics , Tome 15 (1980) no. 2, pp. 277-288.

Résumé

In this paper we give criteria for the occurrence of an infinite group $\text{ш}_p=\ker(\text{ш}\stackrel p\rightarrow\text{ш})$ for an elliptic curve with nonzero Hasse invariant defined over a quasi-global field of characteristic $p\geqslant7$ which is sufficiently large with respect to the curve. Bibliography: 21 titles.

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