arXiv Analytics

Sign in

arXiv:math/0304303 [math.AG]AbstractReferencesReviewsResources

Vector bundles on a K3 surface

Shigeru Mukai

Published 2003-04-21Version 1

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.

Journal: Proceedings of the ICM, Beijing 2002, vol. 2, 495--502
Categories: math.AG
Subjects: 14J10, 14J28, 14J60
Related articles: Most relevant | Search more
arXiv:math/9810084 [math.AG] (Published 1998-10-13)
M. P. Appell's function and vector bundles of rank 2 on elliptic curve
arXiv:math/0207305 [math.AG] (Published 2002-07-31, updated 2003-08-03)
Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of abelian threefolds
arXiv:1706.04963 [math.AG] (Published 2017-06-15)
Abelian varieties isogenous to a power of an elliptic curve over a Galois extension

Links

Toolbox