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arXiv · 1703.02001

K\"ahlerness of moduli spaces of stable sheaves over non-projective K3 surfaces

Arvid Perego
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Abstract

We show that a moduli space of slope-stable sheaves over a K3 surface is an irreducible hyperk\"ahler manifold if and only if its second Betti number is the sum of its Hodge numbers $h^{2,0}$, $h^{1,1}$ and $h^{0,2}$.

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Arvid Perego. 2017-03-06. K\"ahlerness of moduli spaces of stable sheaves over non-projective K3 surfaces. https://arxiv.org/abs/1703.02001

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