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arXiv · 2002.10987

A note on semiorthogonal decompositions for Fano fibrations

Pedro Núñez
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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.

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Pedro Núñez. 2020-02-25. A note on semiorthogonal decompositions for Fano fibrations. https://doi.org/10.1007/s10711-022-00680-z

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