On the Shafarevich conjecture for Enriques surfaces

作者: Teppei Takamatsu

DOI: 10.1007/S00209-020-02623-4

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摘要: Enriques surfaces are minimal of Kodaira dimension 0 with $$b_{2}=10$$ . If we work a field characteristic away from 2, admit double covers which K3 surfaces. In this paper, prove the Shafarevich conjecture for by reducing problem to case our formulation conjecture, use notion “admitting cohomological good cover”, includes not only reduction but also flower pot reduction.

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