Rouquier dimension is Krull dimension for normal toric varieties

Published 17 Feb 2023 in math.AG | (2302.09158v2)

Abstract: We prove that for any normal toric variety, the Rouquier dimension of its bounded derived category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent-constructible correspondence to translate the problem into the study of Rouquier dimension for certain categories of constructible sheaves.

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