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arxiv:2202.12345
Derived categories of families of Fano threefolds
Published on Feb 24, 2022
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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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