论文标题
降低规范元素定理的特征自由证明
Reductions towards a characteristic free proof of the Canonical Element Theorem
论文作者
论文摘要
我们以特征性的自由方式将Hochster的规范元素猜想（定理）减少到本地化问题。我们证明了规范元素定理（CET）的新变体的有效性，并解释了原始CET的新变体的特征自由推论如何为我们提供CET的特征免费证明。我们还表明，如果可以通过以无特征性的方式，可以从Hochster修改模块的大型Cohen-Macaulays中获得平衡的大型Cohen-Macaulay模块定理，可以通过特征性的免费证明来解决。
We reduce Hochster's Canonical Element Conjecture (theorem since 2016) to a localization problem in a characteristic free way. We prove the validity of a new variant of the Canonical Element Theorem (CET) and explain how a characteristic free deduction of the new variant from the original CET would provide us with a characteristic free proof of the CET. We also show that the Balanced Big Cohen-Macaulay Module Theorem can be settled by a characteristic free proof if the big Cohen-Macaulayness of Hochster's modification module can be deduced from the existence of a maximal Cohen-Macaulay complex in a characteristic-free way.
