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 summaryProgram Title:MultivariateResiduesProgram Files doi:http://dx.doi.org/10.17632/7z87sf98xs.1Licensing provisions: GNU General Public License (GPLv3)Programming language: Wolfram Mathematica version 7.0 or higherNature of problem: Evaluation of multivariate complex residuesSolution method: Mathematica implementation
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