HypIgu (HYPerplane IGUsa) is a SageMath package that provides functions to compute the Igusa local zeta function associated with hyperplane arrangements. It further contains various constructions of hyperplane arrangements and functions to compute their flag Hilbert–Poincaré series and other zeta functions.
The simplest way to install HypIgu in SageMath is by running
$ sage --pip install hypiguIf you already have HypIgu installed via pip, then you can update it by running
$ sage --pip install hypigu --upgradeHypIgu source files can be downloaded here: Latest version
This package is compatible with SageMath version 9.6 and later and has no external dependencies. It may work just fine with earlier versions of SageMath, but these have not been tested.
Found online at
HTML files are also found in the repo in docs/ folder:
- Home:
./docs/index.html- Constructors:
./docs/constructors/index.html - Lattices:
./docs/lattices/index.html - Rational Functions:
./docs/rational-functions/index.html
- Constructors:
This package was funded in part by DFG grant 373111162.
Copyright 2020–2024 Joshua Maglione.
HypIgu is distributed with the MIT License.
- Joshua Maglione and Christopher Voll. Flag Hilbert–Poincaré series of hyperplane arrangements and Igusa zeta functions, to appear in Israel J. Math. 2021. arXiv:2103:03640.