English

A geometric perspective on Amitsur's conjecture

Algebraic Geometry 2025-12-09 v1

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.

Keywords

Cite

@article{arxiv.2512.06360,
  title  = {A geometric perspective on Amitsur's conjecture},
  author = {Divyasree C Ramachandran},
  journal= {arXiv preprint arXiv:2512.06360},
  year   = {2025}
}

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R2 v1 2026-07-01T08:12:52.775Z