Rationality problem for norm one tori
Akinari Hoshi, Aiichi Yamasaki
TL;DR
This paper classifies when certain algebraic structures called norm one tori are stably or retract rational, focusing on specific dimensions related to prime numbers and small cases.
Contribution
It provides a classification of stably and retract rational norm one tori in dimensions related to prime numbers and small dimensions, with some exceptions.
Findings
Classified stably/retract rational norm one tori in dimension p-1 for prime p
Extended classification to dimensions up to ten
Identified specific exceptions in the classification
Abstract
We classify stably/retract rational norm one tori in dimension where is a prime number and in dimension up to ten with some minor exceptions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology