计算高极限的同调代数方法

arXiv - MATH - Commutative Algebra Pub Date : 2024-07-19 DOI:arxiv-2407.14205

Guille Carrión Santiago

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引用次数: 0

摘要

在本文中，我们在从滤波正集到共链复数的函数范畴中引入了一个模型范畴结构，在这个范畴中，在 $R$ 模块中取值的函数的高次极限可以通过纤维体置换来计算。我们明确描述了计算腓rantreplacement 的过程，最后还推导出了一些高极限的消失边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An homotopical algebra approach to the computation of higher limits

In this paper, we introduce a model category structure in the category of functors from a filtered poset to cochain complexes in which higher limits of functors that take values in $R$-modules can be computed by means of a fibrant replacement. We explicitly describe a procedure to compute the fibrant replacement and, finally, deduce some vanishing bounds for the higher limits.

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arXiv - MATH - Commutative Algebra

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