This research investigates birational derived splinters in singularities, revealing insights about an invariant measure.
This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures the failure of these singularities.
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Deyn et al. (2026) studied this question.
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