Indecomposability of derived categories for arbitrary schemes
Algebraic Geometry
2023-05-19 v3
Abstract
We extend the criterion of Kawatani and Okawa for indecomposability of the derived category of a smooth projective variety to arbitrary schemes. For relative schemes, we also give a criterion for the nonexistence of semiorthogonal decompositions that are linear over the base. These criteria are based on the base loci of the global or relative dualizing complexes.
Cite
@article{arxiv.2301.06818,
title = {Indecomposability of derived categories for arbitrary schemes},
author = {Ana Cristina López Martín and Fernando Sancho de Salas},
journal= {arXiv preprint arXiv:2301.06818},
year = {2023}
}
Comments
Final version with an appendix by Shinnosuke Okawa. To appear in Collectanea Mathematica