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Derived Categories of Finite Spaces and Grothendieck Duality
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-05-14 , DOI: 10.1007/s00009-020-01509-3
Fernando Sancho de Salas , Juan Francisco Torres Sancho

We obtain some fundamental results, as Bökstedt–Neeman Theorem and Grothendieck duality, about the derived category of modules on a finite ringed space. Then we see how these results are transferred to schemes in a simple way and generalized to other ringed spaces.

中文翻译:

有限空间和Grothendieck对偶性的派生类别

我们获得了一些基本结果,例如Bökstedt–Neeman定理和Grothendieck对偶性,关于有限环空间上模的派生类别。然后,我们看看如何将这些结果以一种简单的方式转移到方案中,并推广到其他环形空间。
更新日期:2020-05-14
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