Biswas, Indranil ; Gómez, Tomás L. ; Hoffmann, Norbert ; Hogadi, Amit (2010) Einstein–Hermitian connection on twisted Higgs bundles Comptes Rendus. Mathématique, 348 (17-18). pp. 981-983. ISSN 1631-073X
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Official URL: https://doi.org/10.1016/j.crma.2010.07.027
Related URL: http://dx.doi.org/10.1016/j.crma.2010.07.027
Abstract
Let X be a smooth projective variety over C. We prove that a twisted Higgs vector bundle (E,θ) on X admits an Einstein–Hermitian connection if and only if (E,θ) is polystable. A similar result for twisted vector bundles (no Higgs fields) was proved in Wang [10]. Our approach is simpler
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Comptes Rendus Mathématique. |
| ID Code: | 141825 |
| Deposited On: | 27 Dec 2025 12:32 |
| Last Modified: | 27 Dec 2025 12:32 |
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