The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

MultivariateResidues: A Mathematica package for computing multivariate residues

MultivariateResidues: A Mathematica package for computing multivariate residues
MultivariateResidues: A Mathematica package for computing multivariate residues
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.
Computational Physics, Computational Algebraic Geometry, Perturbation Theory
Mendeley
Larsen, Kasper
49008353-d8ca-4de6-a377-e34ba737a3e7
Rietkerk, Robbert
b2ffa8cf-9f48-40c1-9ce8-f9fbd0f6e4bb
Larsen, Kasper
49008353-d8ca-4de6-a377-e34ba737a3e7
Rietkerk, Robbert
b2ffa8cf-9f48-40c1-9ce8-f9fbd0f6e4bb

Larsen, Kasper (2017) MultivariateResidues: A Mathematica package for computing multivariate residues. Mendeley doi:10.17632/7Z87SF98XS.1 [Dataset]

Record type: Dataset

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.

This record has no associated files available for download.

More information

Published date: 2017
Keywords: Computational Physics, Computational Algebraic Geometry, Perturbation Theory

Identifiers

Local EPrints ID: 436634
URI: http://eprints.soton.ac.uk/id/eprint/436634
PURE UUID: d49da39a-2da8-41bb-94ad-ae1c1f03b791

Catalogue record

Date deposited: 18 Dec 2019 17:31
Last modified: 18 Dec 2019 17:31

Export record

Altmetrics

Contributors

Creator: Kasper Larsen
Other: Robbert Rietkerk

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×