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This is a Quantitative Study study.

October 13, 2025Open Access

Hanlon-Hicks-Lazarev resolution revisited

Key Points

The study provides a simpler approach to resolving structure sheaves in toric substacks.
A new proof is given, significantly streamlining the original methods by Hanlon, Hicks, and Lazarev.
This method enhances the understanding of line bundles' roles in ambient toric stacks.
The findings indicate that simpler proofs can often lead to profound insights into complex mathematical concepts.

Abstract

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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Cite This Study

Borisov et al. (Sun,) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec09337 https://doi.org/https://doi.org/10.48550/arxiv.2509.11077

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