Root numbers and parity of ranks of elliptic curves

Details Root numbers and parity of ranks of elliptic curves Root numbers and parity of ranks of elliptic curves

2009-06-09

arxiv.org/abs/0906.1815v1

Mathematics

Number Theory

25 pages

Scientific paper

The purpose of the paper is to complete several global and local results concerning parity of ranks of elliptic curves. Primarily, we show that the Shafarevich-Tate conjecture implies the parity conjecture for all elliptic curves over number fields, give a formula for local and global root numbers of elliptic curves and complete the proof of a conjecture of Kramer and Tunnell in characteristic 0. The method is to settle the outstanding local formulae by deforming from local fields to totally real number fields and then using global parity results.

Affiliated with

Also associated with

No associations

Rating

Root numbers and parity of ranks of elliptic curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Root numbers and parity of ranks of elliptic curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Root numbers and parity of ranks of elliptic curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-205923