Spectral coverings without embeddings
Algebraic Geometry
2025-07-04 v1
Abstract
In this article, we investigate a weakened version of the spectral correspondence for twisted Higgs bundles. Namely, we construct twisted Higgs bundles from a finite covering map and a vector bundle on that covering but without requiring that they match the eigen-data for some fixed twisted Higgs bundle. We investigate stability for twisted Higgs bundles constructed in this way, and compare our covering data to that of the traditional spectral cover.
Keywords
Cite
@article{arxiv.2507.02127,
title = {Spectral coverings without embeddings},
author = {Eric Boulter and Steven Rayan},
journal= {arXiv preprint arXiv:2507.02127},
year = {2025}
}
Comments
10 pages