Vector bundles on a K3 surface
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0304303,
title = {Vector bundles on a K3 surface},
author = {Shigeru Mukai},
journal= {arXiv preprint arXiv:math/0304303},
year = {2007}
}