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Bibliographic Details
Main Authors:	Amram, Meirav, Gong, Cheng, Mo, JiaLi
Format:	Preprint
Published:	2024
Subjects:	Algebraic Geometry
Online Access:	https://arxiv.org/abs/2402.06017
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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, and we give a formula for Chern numbers of such Galois covers. As an application, we prove that such surfaces do not exist for n>30. Furthermore, Kollar improves the result to n>9 in Appendix 5.