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arXiv · 1812.05018

Review on rationality problems of algebraic k-tori

Youngjin Bae
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Abstract

Rationality problems of algebraic k-tori are closely related to rationality problems of the invariant field, also known as Noether's Problem. We describe how a function field of algebraic k-tori can be identified as an invariant field under a group action and that a k-tori is rational if and only if its function field is rational over k. We also introduce character group of k-tori and numerical approach to determine rationality of k-tori.

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Youngjin Bae. 2018-12-12. Review on rationality problems of algebraic k-tori. https://arxiv.org/abs/1812.05018

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