hypigu 1.1

A SageMath package that provides functions to compute the Igusa local zeta function associated with hyperplane arrangements.

HypIgu

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.

Installation & Setup

The simplest way to install HypIgu in Sage is by running

$ sage --pip install hypigu

HypIgu source files can be downloaded here: Latest version

This package is compatible with SageMath 9.2 and has no external dependencies.

Documentation

Found online at

joshmaglione.github.io/hypigu

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

Funding

This package is funded in part by DFG grant 373111162.

Copyright & License

Copyright 2021 Joshua Maglione.

HypIgu is distributed with the MIT License.

References

1. Joshua Maglione and Christopher Voll. Flag Hilbert–Poincaré series of hyperplane arrangements and their Igusa zeta functions, 2021. arXiv:2103:03640.