MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).
show/hide this revision's text 2 added 102 characters in body

Is there an analog for the Tate-Shafarevich group for hyperelliptic curves?

References to such an analog would be nice if one exists.

EDIT: Referring to Noam Elkies' comment, are there any finiteness conjectures for such an analog?

show/hide this revision's text 1

Analog for Tate-Shafarevich group

Is there an analog for the Tate-Shafarevich group for hyperelliptic curves?

References to such an analog would be nice if one exists.