BCAlgTori for GAP 4 ver.2022.01.27

Authors: Akinari Hoshi, Aiichi Yamasaki.
Needs: GAP,version >=4.9.3; GAP package HAP, version >=1.12.6;
Current version: BCAlgTori-2022.01.27.zip
(SearchPFilterRowBlocks in FlabbyResolutionBC.gap was modified)
Old version: BCAlgToriver.2021.12.07.zip
(CharacteristicCyclotomicPolynomial, CharPolyList in crystcat.gap were added;
CrystCatQClass, eigen22 in crystcat.gap were modified where crystcat.gap was given in RatProbAlgTori for GAP 4 ver.2017.06.18 and MultInvField for GAP 4 ver.2018.11.03 in order to work in GAP 4.9.3)
Contact: Akinari Hoshi, Aiichi Yamasaki.
Repository: KURENAI (Kyoto University Research Information Repository) https://doi.org/10.57723/289564
URL:
http://mathweb.sc.niigata-u.ac.jp/~hoshi/Algorithm/BCAlgTori/index.html
https://www.math.kyoto-u.ac.jp/~yamasaki/Algorithm/BCAlgTori/index.html

Description

This code provides algorithms for birational classification for algebraic tori.

Installation

Download BCAlgTori-2022.01.27.zip and unpack it to ~/ (/home/username).
Then type "Read("BCAlgTori.gap");" on GAP.

Documentation

crystcat [.html, .pdf]
FlabbyResolutionBC [.html, .pdf]
README [.html, .pdf]

Content

BCAlgTori-2022.01.27.zip-+-BCAlgTori.gap
                         +-crystcat.gap
                         +-crystcat.pdf
                         +-FlabbyResolutionBC.gap
                         +-FlabbyResolutionBC.pdf
                         +-FlabbyResolutionBCver.2021.12.07.gap
                         +-NonInv.dat
                         +-README.txt
                         +-README.pdf
                         +-TorusInvariants.dat
                         +-WeakStablyEquivalentClass.dat
                         +-BCAlgTori-2022.01.27.pdf

References

[HY] Akinari Hoshi and Aiichi Yamasaki, Birational classification for algebraic tori, arXiv:2112.02280.