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Vector bundles on a K3 surface

Shigeru Mukai
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Abstract

A K3 surface is a quaternionic analogue of an elliptic curve from a view point of moduli of vector bundles. We can prove the algebraicity of certain Hodge cycles and a rigidity of curve of genus eleven and gives two kind of descriptions of Fano threefolds as applications. In the final section we discuss a simplified construction of moduli spaces.

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Shigeru Mukai. 2003-04-21. Vector bundles on a K3 surface. https://arxiv.org/abs/math/0304303

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