MultivariateResidues: a Mathematica package for computing multivariate residues

Understand

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.