RatProbNorm1Tori for GAP 4

Authors: Akinari Hoshi, Aiichi Yamasaki.
Needs: GAP,version >=4.4.12;
Current version: 2018.11.05
Contact: Akinari Hoshi, Aiichi Yamasaki.
URL: https://www.math.kyoto-u.ac.jp/~yamasaki/Algorithm/RatProbNorm1Tori/index.html
Download: zip

Description

This code provides algorithms for (stably, retract) rationality problem for norm one tori.

Installation

Download RatProbNorm1Tori.zip and unpack it to some folder , e.g. C:\Users\username.
Then type "Read("FlabbyResolutionFromBase.gap");" on GAP.

Contents

Click the link below for further details.
RatProbNorm1Tori.zip-+-FlabbyResolutionFromBase.gap

References

[HY17] Akinari Hoshi and Aiichi Yamasaki, Rationality problem for algebraic tori, Mem. Amer. Math. Soc. 248 (2017) no. 1176, v+215 pp.
[HHY20] Sumito Hasegawa, Akinari Hoshi and Aiichi Yamasaki, Rationality problem for norm one tori in small dimensions, Math. Comp. 89 (2020) 923-940. Extended version: arXiv:1811.02145.