Structure of the Kuranishi Spaces of pairs of Kähler manifolds and Polystable Higgs bundles

Takashi Ono

Let $X$ be a compact Kähler manifold and $(E,{\overline{\partial }}_E,\theta )$ be a Higgs bundle over it. We study the structure of the Kuranishi space for the pair $(X,E,\theta )$ when the Higgs…