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A t-structure on the ∞ -category of mixed graded modules

Pavia E.
2023
  • journal article

Periodico
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES
Abstract
In this work, we shall study in a purely model-independent fashion the 8-category of mixed graded modules over a ring of characteristic 0, as defined by D. Calaque, T. Pantev, M. Vaquie, B. Toen and G. Vezzosi. First, we collect some basic results about its main formal properties, clarifying foundational questions in a systematic manner, to serve as a reference for future work. Finally, we shall endow such 8-category with a both left and right complete accessible t-structure, showing how this identifies the 8-category of mixed graded modules with the left completion of the Beilinson t-structure on the 8-category of filtered modules.
DOI
10.1007/s40062-023-00324-3
WOS
WOS:000980128200001
Archivio
https://hdl.handle.net/20.500.11767/140510
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85153700441
https://arxiv.org/abs/2207.11994
https://ricerca.unityfvg.it/handle/20.500.11767/140510
Diritti
open access
Soggetti
  • t-Structure

  • Mixed graded modules

  • Filtered modules

  • Homological algebra

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