2-descent for Bloch--Kato Selmer groups and rational points on
hyperelliptic curves II
2-descent for Bloch--Kato Selmer groups and rational points on
hyperelliptic curves II
We give refined methods for proving finiteness of the Chabauty--Coleman--Kim set $X(\mathbb{Q}_2 )_2 $, when $X$ is a hyperelliptic curve with a rational Weierstrass point. The main developments are methods for computing Selmer conditions at $2$ and $\infty$ for the mod 2 Bloch--Kato Selmer group associated to the higher Chow …