Deformations of holomorphic-Higgs pairs

Autor: Ono, Takashi
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