About the Teyt-Shafarevich product in elliptical curves over pseudolocal fields with remainder fields of the characteristics 3

• Date: 1992
• Main Authors: Andriichuk , V. I., Андрійчук , В. І.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8163
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let$k$  be a general local field with pseudolocal residue field $\kappa$, ${\rm char} \kappa = 3$, and $А$  an elliptic curve defined over $k$. It is proved that the Tate-Shafarevich product $H^1(k, A) \times A_k→ Q/ \mathbb Z$  of the group $H^1 (k, А)$ of pri...