@article{c0422587c3bc4387ba75286db76f9918,
title = "Descent for semiorthogonal decompositions",
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.",
keywords = "Derived categories, Descent, Semiorthogonal decompositions, Twisted forms",
author = "Benjamin Antieau and Elden Elmanto",
note = "Funding Information: BA was supported by NSF Grant DMS-1552766 . This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140 while BA and EE were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2019 semester. Part of this work was also carried out when EE was a member of the Center for Symmetry and Deformation at the University of Copenhagen. Funding Information: BA was supported by NSF Grant DMS-1552766. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140 while BA and EE were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2019 semester. Part of this work was also carried out when EE was a member of the Center for Symmetry and Deformation at the University of Copenhagen. Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2021",
month = mar,
day = "26",
doi = "10.1016/j.aim.2021.107600",
language = "English (US)",
volume = "380",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}