MultivariateResidues: a Mathematica package for computing multivariate residues
Abstract
Multivariate residues appear in many different contexts in theoretical physics and algebraic geometry. In theoretical physics, they for example give the proper definition of generalized-unitarity cuts, and they play a central role in the Grassmannian formulation of the S-matrix by Arkani-Hamed et al. In realistic cases their evaluation can be non-trivial. In this paper we provide a Mathematica package for efficient evaluation of multidimensional residues based on methods from computational algebraic geometry. The package moreover contains an implementation of the global residue theorem, which produces relations between residues at finite locations and residues at infinity.
Cite
@article{arxiv.1701.01040,
title = {MultivariateResidues: a Mathematica package for computing multivariate residues},
author = {Kasper J. Larsen and Robbert Rietkerk},
journal= {arXiv preprint arXiv:1701.01040},
year = {2019}
}
Comments
43 pages, 4 figures. Application to Cachazo-He-Yuan scattering equations added; journal version. The package MultivariateResidues can be downloaded from https://bitbucket.org/kjlarsen/multivariateresidues/raw/master/release/MultivariateResidues.zip