The unpolarized Shafarevich Conjecture for K3 Surfaces
Number Theory
2017-05-26 v1
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.
Keywords
Cite
@article{arxiv.1705.09038,
title = {The unpolarized Shafarevich Conjecture for K3 Surfaces},
author = {Yiwei She},
journal= {arXiv preprint arXiv:1705.09038},
year = {2017}
}