Rationality problem for quasi-monomial actions
Akinari Hoshi
TL;DR
This paper surveys the rationality problem for quasi-monomial actions, including Noether's problem and algebraic tori, highlighting recent results from three research papers.
Contribution
It provides a concise overview of the current state of the rationality problem for quasi-monomial actions and summarizes recent advances in the field.
Findings
Summarizes key results from recent papers on rationality problems
Highlights connections between Noether's problem and algebraic tori
Provides insights into ongoing research directions
Abstract
We give a short survey of the rationality problem for quasi-monomial actions which includes Noether's problem and the rationality problem for algebraic tori, and report some results on rationality problem in three recent papers Hoshi, Kang and Kitayama [HKKi], Hoshi, Kang and Kunyavskii [HKKu] and Hoshi and Yamasaki [HY].
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Algebraic structures and combinatorial models