English

Footnotes to papers of O'Grady and Markman

Algebraic Geometry 2022-08-23 v2

Abstract

In this paper, we first generalize to any hyper-K\"ahler manifold with nonzero third Betti number results proved by O'Grady for hyper-K\"ahler manifolds of generalized Kummer type. In the second part, we restrict to hyper-K\"ahler manifolds of generalized Kummer type and prove, using results of Markman, that their Kuga-Satake correspondence is algebraic.

Keywords

Cite

@article{arxiv.2106.06979,
  title  = {Footnotes to papers of O'Grady and Markman},
  author = {Claire Voisin},
  journal= {arXiv preprint arXiv:2106.06979},
  year   = {2022}
}

Comments

Minor modifications