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arXiv · 2301.06818

Indecomposability of derived categories for arbitrary schemes

Ana Cristina López Martín·Fernando Sancho de Salas
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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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Ana Cristina López Martín, Fernando Sancho de Salas. 2023-01-17. Indecomposability of derived categories for arbitrary schemes. https://arxiv.org/abs/2301.06818

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