Title: The unpolarized Shafarevich Conjecture for K3 Surfaces,
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 André, as well as the Kuga-Satake
construction.