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arXiv · 2511.12806

Resurgence number of matroidal configuration

Haoxi Hu
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Abstract

This article gives a new upper bound for the resurgence number of symbolic powers of matroidal configuration in the following situations: the height of the matroidal configuration is big, or the height is small, and the corresponding simplicial complex of the matroidal configuration is peaked. The Peaked simplicial complex is a generalization of bipartite graph. We also give some examples that the remaining case for which the bound cannot be improved. Furthermore, We provide a new proof of the formula for the resurgence number of a star configuration using the methods developed in this article.

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Haoxi Hu. 2026-09-11. Resurgence number of matroidal configuration. https://arxiv.org/abs/2511.12806

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