Measuring birational derived splinters
classification
🧮 math.AG
math.AC
keywords
derivedsingularitiesbirationalsplintersassociatedbeyondcalledcategorical
read the original abstract
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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