Milnor descent for cohesive dg-categories
Algebraic Geometry
2022-10-12 v3 K-Theory and Homology
Quantum Algebra
Abstract
We show that the functor from curved differential graded algebras to differential graded categories, defined by the second author in [B], sends Cartesian diagrams to homotopy Cartesian diagrams, under certain reasonable hypotheses. This is an extension to the arena of dg categories of a construction of projective modules due to Milnor. As an example, we show that the functor satisfies descent for certain partitions of a complex manifold.
Cite
@article{arxiv.1201.6118,
title = {Milnor descent for cohesive dg-categories},
author = {Oren Ben-Bassat and Jonathan Block},
journal= {arXiv preprint arXiv:1201.6118},
year = {2022}
}
Comments
21 pages