Compactification of Dolbeault moduli spaces

Abstract

We construct a relative compactification of Dolbeault moduli spaces of Higgs bundles for reductive algebraic groups on families of projective manifolds that is compatible with the Hitchin morphism.

22 pages. Comments are welcome. I thank the anonymous referees for their suggestions, especially in connection with their constructive criticism of the original proof of Theorem 3.1.1.(1,2) (projectivity of the compactification), which contained a gap, now fixed. To appear in IMRN

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