A symplectic fourfold
Algebraic Geometry
2026-04-09 v1
Abstract
We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-K\"ahler manifolds by non-natural group actions. In particular, we construct irreducible symplectic varieties of dimension with and non-quotient singularities: this provides explicit examples of ISVs for which a global Torelli theorem is not known to hold.
Cite
@article{arxiv.2604.06851,
title = {A symplectic fourfold},
author = {Maria Donten-Bury and Grzegorz Kapustka and Benedetta Piroddi and Tomasz Wawak},
journal= {arXiv preprint arXiv:2604.06851},
year = {2026}
}
Comments
32 pages, comments welcome