论文标题

$ \ infty $ - 混合分级模块的$ t $结构

A $t$-structure on the $\infty$-category of mixed graded modules

论文作者

Pavia, Emanuele

论文摘要

在这项工作中,我们将以纯粹独立于模型的方式学习$ \ infty $ - 混合分级模块在特征$ 0 $的环上进行研究,并收集一些有关其主要正式属性的基本结果。最后,我们将赋予这种$ \ infty $ - 类别,并具有左右完全可访问的$ t $结构,以显示这是如何识别混合分级模块的$ \ hody hofty $类别的,而左完成了beilinson $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $结构的结构。本文的大多数内容都可以在文献中获得,它主要用作未来工作的参考。

In this work, we shall study in a purely model-independent fashion the $\infty$-category of mixed graded modules over a ring of characteristic $0$, and collect some basic results about its main formal properties. Finally, we shall endow such $\infty$-category with a both left and right complete accessible $t$-structure, showing how this identifies the $\infty$-category of mixed graded modules with the left completion of the Beilinson $t$-structure on the \infinity-category of filtered modules. Most of the content of this paper is already available in literature, and it serves mainly as a reference for future work.

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