Descent for semiorthogonal decompositions

Benjamin Antieau, Elden Elmanto*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We prove descent theorems for semiorthogonal decompositions using techniques from derived algebraic geometry. Our methods allow us to capture more general filtrations of derived categories and even marked filtrations, where one descends not only admissible subcategories but also preferred objects.

Original languageEnglish (US)
Article number107600
JournalAdvances in Mathematics
Volume380
DOIs
StatePublished - Mar 26 2021

Keywords

  • Derived categories
  • Descent
  • Semiorthogonal decompositions
  • Twisted forms

ASJC Scopus subject areas

  • Mathematics(all)

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