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arXiv · 2302.09158

Rouquier dimension is Krull dimension for normal toric varieties

David Favero·Jesse Huang
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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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David Favero, Jesse Huang. 2023-02-17. Rouquier dimension is Krull dimension for normal toric varieties. https://doi.org/10.1007/s40879-023-00686-1

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