O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds
Algebraic Geometry
2025-01-17 v2
Abstract
We provide a modular construction of the Laza--Sacc\`a--Voisin compactification of the intermediate Jacobian fibration of a cubic fourfold. Additionally, we construct infinitely many -dimensional families of polarized hyper-K\"ahler manifolds of type OG10, realized as moduli spaces of stable bundles on hyper-K\"ahler manifolds of type .
Cite
@article{arxiv.2411.18528,
title = {O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds},
author = {Alessio Bottini},
journal= {arXiv preprint arXiv:2411.18528},
year = {2025}
}
Comments
v.2 added Lemma 3.2 for clarity and corrected typos. 52 pages