Propagating weights of tori along free resolutions

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• 作者：Federico Galetto ^{galetto@mast.queensu.ca" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 13D02 ; secondary ; 13A50 ; 13P20 ; 20G05
• 刊名：Journal of Symbolic Computation
• 出版年：2016
• 出版时间：May-June 2016
• 年：2016
• 卷：74
• 期：Complete
• 页码：1-45
• 全文大小：838 K

文摘

The action of a torus on a graded module over a polynomial ring extends to the entire minimal free resolution of the module. We explain how to determine the action of the torus on the free modules in the resolution, when the resolution can be calculated explicitly. The problem is reduced to analyzing how the weights of a torus propagate along an equivariant map of free modules. The results obtained are used to design algorithms which have been implemented in the software system Macaulay2.