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arXiv · 2507.15161

Moduli of Higgs Coherent Systems with stable underlying vector bundles over a curve

Castañeda-González Edgar I
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Abstract

Let $X$ be a smooth, connected complex projective curve of genus at least $2$. A Higgs coherent system is an augmented bundle $(E,V)$, where $E$ is a holomorphic vector bundle, and $V$ is a linear subspace of the spaces of Higgs bundles of $E$. The purpose of this paper is twofold. First, we introduce the moduli problem of Higgs coherent systems over $X$. Second, we construct the fine moduli space for Higgs coherent systems with stable underlying vector bundles.

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Castañeda-González Edgar I. 2025-07-20. Moduli of Higgs Coherent Systems with stable underlying vector bundles over a curve. https://arxiv.org/abs/2507.15161

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