Derived characterization of rational singularities in pairs on normal varieties, suggesting implications for affine varieties.
We begin by giving a derived characterization of rational singularities for pairs in the sense of Schwede–Takagi. This characterization extends a characterization of rational singularities due to Lank–Venkatesh to pairs on normal varieties over fields of characteristic zero. As an application, we introduce a categorical invariant that measures the failure of rationality for pairs on affine varieties that are locally complete intersections.
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Lank et al. (2026) studied this question.
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