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arXiv · 2212.11495

Deformations of holomorphic-Higgs pairs

Takashi Ono
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Abstract

We study the deformation of the holomorphic-Higgs pair. The holomorphic-Higgs pair is a pair of a complex manifold and a Higgs bundle over it. We introduce the differential graded Lie algebra (DGLA) which comes from the deformation. We derive the Maurer-Cartan equation which governs the deformation of the holomorphic-Higgs pair, construct the Kuranishi family of it, and prove its local completeness.

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Takashi Ono. 2022-12-22. Deformations of holomorphic-Higgs pairs. https://doi.org/10.2140/pjm.2024.330.283

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