Descent for semiorthogonal decompositions
Algebraic Geometry
2021-01-12 v2 K-Theory and Homology
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.
Cite
@article{arxiv.1912.08970,
title = {Descent for semiorthogonal decompositions},
author = {Benjamin Antieau and Elden Elmanto},
journal= {arXiv preprint arXiv:1912.08970},
year = {2021}
}
Comments
Various minor changes, new example from Hodge theory; to appear in Advances in Mathematics