交换诺特环导出范畴中的局部对偶原理
交换代数
2017-09-12 v2
摘要
设 R 为交换诺特环。我们引入带支撑的共局部化函子概念，其支撑位于 Spec R 的任意子集，这是具特殊化闭子集支撑的截面函子右导出函子的自然推广。我们证明局部对偶定理与 Grothendieck 型消失定理对共局部化函子成立。
引用
@article{arxiv.1610.07715,
title = {A local duality principle in derived categories of commutative Noetherian rings},
author = {Tsutomu Nakamura and Yuji Yoshino},
journal= {arXiv preprint arXiv:1610.07715},
year = {2017}
}
备注
Theorem 1.3 was improved, and Section 5 was revised. Some results in Section 5 were removed to be included in a forthcoming paper. The title and some terminologies were changed. 16 pages, Accepted for publication in J. Pure Appl. Algebra