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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2507.15161 |
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| _version_ | 1866909697242562560 |
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| author | Edgar I, Castañeda-González |
| author_facet | Edgar I, Castañeda-González |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15161 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moduli of Higgs Coherent Systems with stable underlying vector bundles over a curve Edgar I, Castañeda-González Algebraic Geometry 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. |
| title | Moduli of Higgs Coherent Systems with stable underlying vector bundles over a curve |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2507.15161 |