On the order three Brauer classes for cubic surfaces
Algebraic Geometry
2011-11-09 v2 Number Theory
Abstract
We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over such that is a 3-group. Our approach is to associate a Brauer class with every ordered triplet of Galois invariant pairs of Steiner trihedra. We show that all order three Brauer classes may be obtained in this way. To show the effect of the obstruction, we give explicit examples.
Cite
@article{arxiv.1110.2086,
title = {On the order three Brauer classes for cubic surfaces},
author = {Andreas-Stephan Elsenhans and Jörg Jahnel},
journal= {arXiv preprint arXiv:1110.2086},
year = {2011}
}
Comments
Extended introduction, discussion of the example of Cassels and Guy