Weil–Châtelet group
id:
weil-ch-telet-group-282-4180544
title:
Weil–Châtelet group
text:
In arithmetic geometry, the Weil–Châtelet group or WC-group of an algebraic group such as an abelian variety A defined over a field K is the abelian group of principal homogeneous spaces for A, defined over K. John Tate (1958) named it for François Châtelet (1946) who introduced it for elliptic curves, and André Weil (1955), who introduced it for more general groups. It plays a basic role in the arithmetic of abelian varieties, in particular for elliptic curves, because of its connection with in
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https://en.wikipedia.org/wiki/Weil%E2%80%93Ch%C3%A2telet_group
date created:
date modified:
2021-09-19T14:57:51Z
main entity:
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13
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