Deformations of holomorphic-Higgs pairs
Autor: | Ono, Takashi |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Pacific J. Math. 330 (2024) 283-316 |
Druh dokumentu: | Working Paper |
DOI: | 10.2140/pjm.2024.330.283 |
Popis: | 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. Comment: 25page. Comments are welcome! |
Databáze: | arXiv |
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