Failure of the Hasse principle for Enriques surfaces

Details Failure of the Hasse principle for Enriques surfaces Failure of the Hasse principle for Enriques surfaces

2010-08-03

arxiv.org/abs/1008.0596v1

Adv. Math. 226 (2011), 4884-4901

Mathematics

Number Theory

16 pages, 2 tables, Magma code included at the end of the source file

Scientific paper

10.1016/j.aim.2010.12.020

We construct an Enriques surface X over Q with empty \'etale-Brauer set (and
hence no rational points) for which there is no algebraic Brauer-Manin
obstruction to the Hasse principle. In addition, if there is a transcendental
obstruction on X, then we obtain a K3 surface that has a transcendental
obstruction to the Hasse principle.

Affiliated with

Also associated with

No associations

Rating

Failure of the Hasse principle for Enriques surfaces 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 Failure of the Hasse principle for Enriques surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Failure of the Hasse principle for Enriques surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615386