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math.AG2025
Spectral coverings without embeddings
Eric Boulter, Steven Rayan
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 a…
math.AG2022
(Co)-Higgs bundles on Non-Kähler Elliptic Surfaces
Eric Boulter, Ruxandra Moraru
In this paper, we study Higgs and co-Higgs bundles on non-Kähler elliptic surfaces. We show, in particular, that non-trivial stable Higgs bundles only exist when the base of the el…
math.AG2021
Moduli Spaces of Stably Irreducible Sheaves on Kodaira Surfaces
Eric Boulter
Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples of smooth and compact holomorphic symplectic manifolds, and it is not yet known…