This paper considers some algebraic surfaces that can deform to planar Zappatic stable surfaces with a unique singularity of type Eₙ. We prove that the Galois covers of these surfaces are all simply connected of general type, for n ≥ 4. As an application, we prove that such surfaces do not exist for~$n>30$.
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Amram et al. (2024) studied this question.
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