A moduli theoretic approach to Lagrangian subvarieties of hyperk\"ahler varieties: Examples
Algebraic Geometry
2022-03-25 v1
Abstract
We propose two conjectures on a moduli theoretic approach to constructing Lagrangian subvarieties of hyperk\"ahler varieties arising from the Kuznetsov components of cubic fourfolds or Gushel--Mukai fourfolds. Then we verify the conjectures in several cases, recovering classical examples. As a corollary, we confirm a conjecture of O'Grady in several instances on the existence of Lagrangian covering families for hyperk\"ahler varieties.
Keywords
Cite
@article{arxiv.2203.13091,
title = {A moduli theoretic approach to Lagrangian subvarieties of hyperk\"ahler varieties: Examples},
author = {Hanfei Guo and Zhiyu Liu and Shizhuo Zhang},
journal= {arXiv preprint arXiv:2203.13091},
year = {2022}
}
Comments
20 pages. Comments are welcome!