On the Shafarevich conjecture for irreducible symplectic varieties
Number Theory
2022-04-26 v2
Abstract
Irreducible symplectic varieties are higher-dimensional analogues of K3 surfaces. In this paper, we prove the Shafarevich conjecture for irreducible symplectic varieties of fixed deformation class. We also observe that the second cohomological generalization of the Shafarevich conjecture does not hold in general, and discuss another formulation of a cohomological generalization.
Keywords
Cite
@article{arxiv.2201.00482,
title = {On the Shafarevich conjecture for irreducible symplectic varieties},
author = {Teppei Takamatsu},
journal= {arXiv preprint arXiv:2201.00482},
year = {2022}
}
Comments
22 pages, this paper was superseded by arXiv:2203.10391