Rationality problem for norm one tori

2018/11/05 by Hoshi, Akinari, Yamasaki, Aiichi
#11E72 #12F20 #13A50 #14E08 #20C10 #20G15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1811.01676

Abstract

We classify stably/retract rational norm one tori in dimension p-1 where p is a prime number and in dimension up to ten with some minor exceptions.

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