On Quadratic Twists of Hyperelliptic Curves

Details On Quadratic Twists of Hyperelliptic Curves On Quadratic Twists of Hyperelliptic Curves

2010-10-04

arxiv.org/abs/1010.0732v1

Mathematics

Number Theory

13 pages

Scientific paper

Let C be a hyperelliptic curve of good reduction defined over a discrete
valuation field K. Given $d\in K^*\setminus K^{*2}$, we find the minimal
regular model of the quadratic twist of C by d. Then we prove that there exists
an infinite family of hyperelliptic curves of genus 2 defined over Q violating
the Hasse principle.

Affiliated with

Also associated with

No associations

Rating

On Quadratic Twists of Hyperelliptic 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 On Quadratic Twists of Hyperelliptic Curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Quadratic Twists of Hyperelliptic Curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-85861