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arXiv · 2512.06360

A geometric perspective on Amitsur's conjecture

Divyasree C Ramachandran
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Abstract

Roquette proved Amitsur's conjecture for Severi-Brauer varieties associated with cyclic algebras using algebraic methods. We present a geometric proof of Roquette's result, providing simple and explicit birational isomorphisms.

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Divyasree C Ramachandran. 2025-12-06. A geometric perspective on Amitsur's conjecture. https://arxiv.org/abs/2512.06360

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