Birational equivalence of Severi-Brauer varieties
J\'anos Koll\'ar
TL;DR
This paper proves Amitsur's conjecture for certain Severi-Brauer varieties, specifically those whose index is not a prime power, advancing understanding in algebraic geometry and division algebras.
Contribution
It establishes the birational equivalence of Severi-Brauer varieties under new conditions related to their index, expanding previous results.
Findings
Proves Amitsur's conjecture for non-prime power index cases
Shows birational equivalence of specific Severi-Brauer varieties
Advances classification in algebraic geometry
Abstract
We prove Amitsur's conjecture for Severi-Brauer varieties whose index is not a prime power.
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