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arXiv · 1202.5348

Transcendental Brauer elements via descent on elliptic surfaces

Bianca Viray
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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.

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Bianca Viray. 2012-02-24. Transcendental Brauer elements via descent on elliptic surfaces. https://arxiv.org/abs/1202.5348

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