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Indecomposability of derived categories for arbitrary schemes
Published 17 Jan 2023 in math.AG | (2301.06818v3)
Abstract: We extend the criterion of Kawatani and Okawa for indecomposability of the derived category of a smooth projective variety to arbitrary schemes. For relative schemes, we also give a criterion for the nonexistence of semiorthogonal decompositions that are linear over the base. These criteria are based on the base loci of the global or relative dualizing complexes.
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