Review on Rationality Problems of Algebraic K-Tori

Authors: Youngjin Bae

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.

Comments: 12 Pages.

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Submission history

[v1] 2018-12-12 00:03:23
[v2] 2018-12-12 10:43:42

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