English

Moduli of sheaves on hyperk\"ahler manifolds

Algebraic Geometry 2026-02-27 v1

Abstract

We survey recent advances in the theory of moduli spaces of stable sheaves on hyperk\"ahler manifolds of dimension greater than 22. We start by recalling the well-known theory in dimension 22, i.e.~for K3K3 surfaces, emphasizing the techniques which can be extended to higher dimensions.

Keywords

Cite

@article{arxiv.2602.23194,
  title  = {Moduli of sheaves on hyperk\"ahler manifolds},
  author = {Kieran G. O'Grady},
  journal= {arXiv preprint arXiv:2602.23194},
  year   = {2026}
}