Rouquier dimension is Krull dimension for normal toric varieties
Algebraic Geometry
2024-02-29 v2
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.
Keywords
Cite
@article{arxiv.2302.09158,
title = {Rouquier dimension is Krull dimension for normal toric varieties},
author = {David Favero and Jesse Huang},
journal= {arXiv preprint arXiv:2302.09158},
year = {2024}
}
Comments
9 pages. Added acknowledgements and additional citations. Small errors and typos fixed