Derived Tensor Products and Their Applications
Derived Tensor Products and Their Applications
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导出张量积及其应用
DOI：
10.5772/intechopen.92869
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
F. Bulnes
中科院分区：
文献类型：
--
作者：
F. Bulnes
在本研究中，我们研究了 Étale 滑轮的派生类别上的张量积，其中将传递视为基本，类别 X ⊗ Y ¼ X (cid:2) Y 上的张量积，在类别 Cor k 上（有限对应类别），将其理解为 k 上的基础方案的乘积。尽管为此需要在类别 PST( k ) 上构建总张量积，但这种构造将有助于使用加性类别上的预滑轮以及逆变和协变函子来获得派生类别的概括，以定义无限序列的精确性和谱序列的分辨率。通过场方程解的结果给出了一些具体的应用。
In this research we studied t he tensor product on derived categories of Étale sheaves with transfers considering as fundamental, the tensor product of categories X ⊗ Y ¼ X (cid:2) Y , on the category Cor k , (finite correspondences category) by under-standing it to be the product of the underlying schemes on k . Although, to this is required to build a total tensor product on the category PST( k ), where this construction will be useful to obtain generalizations on derived categories using pre-sheaves and contravariant and covariant functors on additive categories to define the exactness of infinite sequences and resolution of spectral sequences. Some concrete applications are given through a result on field equations solution.