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

Emanuele Pavia

doi:10.1007/s40062-023-00324-3

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arXiv · 2207.11994

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

Emanuele Pavia

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Abstract

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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Emanuele Pavia. 2022-07-25. A $t$-structure on the $\infty$-category of mixed graded modules. https://doi.org/10.1007/s40062-023-00324-3

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