Erratum to: ``Burniat surfaces. II: Secondary Burniat surfaces form three connected components of the moduli space'' (Q398679)

The authors corrects the main statement of their paper [Invent. Math. 180, No. 3, 559--588 (2010; Zbl 1219.14051)]: Nodal Burniat surfaces with \(K_S^2=4\) do \textit{not } form a connected component of the moduli space, but are properly contained in a unique irreducible connected component. Theorems 1.1 and 1.2 are adapted accordingly as well as Corollary 2.11, and new proofs are given.