<ce:small-caps>MultivariateResidues</ce:small-caps> : A Mathematica package for computing multivariate residues

Kasper J. Larsen; Robbert Rietkerk

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MultivariateResidues : A Mathematica package for computing multivariate residues

机译：多功能仪：用于计算多变量残留的Mathematica包

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摘要

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 theS-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

机译：<！[cdata [ Abstract

多变量残留在理论物理和代数几何中的许多不同上下文中。在理论物理学中，它们例如给出广义oferarity削减的正确定义，它们在Grassmannian的制定中发挥着核心作用，在 s -matrix by arkani- Hamed等人。在现实的情况下，他们的评价可能是非微不足道的。在本文中，我们提供了一种Mathematica包，用于基于计算代数几何学的方法高效地评估多变量残留物。

程序摘要

程序标题： multivariateresidues < CE：斜体>程序文件DOI： http： //dx.doi.org/10.17632/7z87sf98xs.1/ce:simple-para view =“全部”id =“d1e286”> 许可规定： GNU通用公共许可证（GPLv3）编程语言： wolfram mathematica 7.0或更高版本

问题的性质：对多变量复合物残留物的评估

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来源
《Computer physics communications》 |2018年第2018期|共13页
作者
Kasper J. Larsen; Robbert Rietkerk;
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作者单位

Institute for Theoretical Physics ETH Zürich;

Nikhef Theory Group;

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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Computational algebraic geometry; Unitarity calculations; Perturbation theory; Computer algebra;

机译：计算代数几何形状;统一性计算;扰动理论;计算机代数;

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7. MultivariateResidues $-$ a Mathematica package for computing multivariate residues [O] . Robbert Rietkerk, Kasper Larsen 2018

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MultivariateResidues : A Mathematica package for computing multivariate residues

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