The unpolarized Shafarevich Conjecture for K3 Surfaces

Published 25 May 2017 in math.NT | (1705.09038v1)

Abstract: We prove the unpolarized Shafarevich conjecture for K3 surfaces: the set of isomorphism classes of K3 surfaces over a fixed number field with good reduction away from a fixed and finite set of places is finite. Our proof is based on the theorems of Faltings and Andr\'e, as well as the Kuga-Satake construction.

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Authors (1)

Yiwei She

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