Transcendental Brauer elements via descent on elliptic surfaces
Algebraic Geometry
2012-02-29 v2 Number Theory
Abstract
Transcendental Brauer elements are notoriously difficult to compute. Work of Wittenberg, and later, Ieronymou, gives a method for computing 2-torsion transcendental classes on surfaces that have a genus 1 fibration with rational 2-torsion in the Jacobian fibration. We use ideas from a descent paper of Poonen and Schaefer to remove this assumption on the rational 2-torsion.
Cite
@article{arxiv.1202.5348,
title = {Transcendental Brauer elements via descent on elliptic surfaces},
author = {Bianca Viray},
journal= {arXiv preprint arXiv:1202.5348},
year = {2012}
}
Comments
10 pages, small edits made to the introduction, references added in the introduction