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arXiv · 2202.12345

Derived categories of families of Fano threefolds

Alexander Kuznetsov
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Abstract

We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold fibrations $X/S$ with relative Picard rank $1$ and rational geometric fibers and discuss how the structure of components of these decompositions is related to rationality properties of $X/S$.

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Alexander Kuznetsov. 2022-02-24. Derived categories of families of Fano threefolds. https://arxiv.org/abs/2202.12345

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