环面的权沿自由分解的分解
Propagating weights of tori along free resolutions
摘要：
环面在多项式环上分次模上的作用推广到该模的整个极小自由分解。我们解释了如何确定决议中的自由模上的环面的行动，当决议可以明确计算。问题归结为分析环面的权如何沿自由模的等变映射传播。所获得的结果被用来设计已在软件系统Macaulay2中实现的算法。
英文摘要：
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.
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