A note on semiorthogonal decompositions for Fano fibrations
arXiv:2002.10987 · doi:10.1007/s10711-022-00680-z
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.
8 pages. Updated version according to referee reports; accepted for publication in the journal Geometriae Dedicata