Number Theory Seminar
Tuesday 6 March 2007, MR13, 2:30pm
Local root numbers for elliptic curves in residue characteristic 3
Shinichi Kobayashi
(Nagoya)
Abstract:
Root numbers for elliptic curves over number fields
are signs appeared in functional equations of HasseWeil Lfunctions.
They are written as the product of local signs over all places.
We give a formula for local root numbers at places over 3.
I will explain the formula especially when
elliptic curves have reduction with wild ramification.



