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.
Measuring birational derived splinters / T. De Deyn, P.L.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 58:5(2026 May), pp. e70362.1-e70362.18. [10.1112/blms.70362]
Measuring birational derived splinters
P. Lank
;
2026
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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