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arXiv · 2602.23194

Moduli of sheaves on hyperk\"ahler manifolds

Kieran G. O'Grady
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Abstract

We survey recent advances in the theory of moduli spaces of stable sheaves on hyperk\"ahler manifolds of dimension greater than $2$. We start by recalling the well-known theory in dimension $2$, i.e.~for $K3$ surfaces, emphasizing the techniques which can be extended to higher dimensions.

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Kieran G. O'Grady. 2026-02-26. Moduli of sheaves on hyperk\"ahler manifolds. https://arxiv.org/abs/2602.23194

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