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arXiv · 2106.06979

Footnotes to papers of O'Grady and Markman

Claire Voisin
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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.

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Claire Voisin. 2021-06-13. Footnotes to papers of O'Grady and Markman. https://arxiv.org/abs/2106.06979

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