A note on semiorthogonal decompositions for Fano fibrations
Algebraic Geometry
2022-03-01 v2
Abstract
Fano fibrations arise naturally in the birational classification of algebraic varieties. We show that these morphisms always induce a semiorthogonal decomposition on the derived category of the fibred space, extending classic results such as Orlov's projective bundle formula to the non-flat and singular case.
Keywords
Cite
@article{arxiv.2002.10987,
title = {A note on semiorthogonal decompositions for Fano fibrations},
author = {Pedro Núñez},
journal= {arXiv preprint arXiv:2002.10987},
year = {2022}
}
Comments
8 pages. Updated version according to referee reports; accepted for publication in the journal Geometriae Dedicata