Vector bundles on a K3 surface

Details Vector bundles on a K3 surface Vector bundles on a K3 surface

2003-04-21

arxiv.org/abs/math/0304303v1

Proceedings of the ICM, Beijing 2002, vol. 2, 495--502

Mathematics

Algebraic Geometry

Scientific paper

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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