Rouquier dimension is Krull dimension for normal toric varieties

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.

9 pages. Added acknowledgements and additional citations. Small errors and typos fixed

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