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arXiv · 1605.06891

Dimension of the singularity category of a variety with rational singularities

Wahei Hara
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Abstract

In this paper, we study the Rouquier dimension of the singularity category of a variety with rational singularity. We construct an upper bound for the dimension of $\mathrm{D}_{\mathrm{sg}}(X)$ if $X$ has at worst rational singularities and $\dim X_{\mathrm{sing}} \leq 1$.

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Wahei Hara. 2016-05-23. Dimension of the singularity category of a variety with rational singularities. https://arxiv.org/abs/1605.06891

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