This paper presents a new proof for the resolution of structure sheaves using line bundles on toric substacks, implying simplicity.
Hanlon, Hicks and Lazarev constructed resolutions of structure sheaves of toric substacks by certain line bundles on the ambient toric stacks. In this paper, we give a new and substantially simpler proof of their result.
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Borisov et al. (2025) studied this question.
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