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 multivariate residues based on methods from computational algebraic geometry. Program summary Program Title: MultivariateResidues Program Files doi: http://dx.doi.org/10.17632/7z87sf98xs.1 Licensing provisions: GNU General Public License (GPLv3) Programming language: Wolfram Mathematica version 7.0 or higher Nature of problem: Evaluation of multivariate complex residues Solution method: Mathematica implementation