Global smoothings of degenerate K3 surfaces with triple points

Abstract

Let $X$ be a normal crossing compact complex surface with triple points. We prove that there exists a family of smoothings of $X$ when $X$ satisfies suitable conditions. Since our differential geometric proof also includes the case where $X$ is neither Kählerian nor $H^1(X,{\mathcal{O}}_X)=0$, this generalizes Friedman's result on degenerations of $K3$ surfaces in algebraic geometry.

This paper has been withdrawn by the author due to some errors and logical gaps in the proof

Cited by in corpus (1)

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