arXiv Analytics

Sign in

arXiv:0808.1061 [math.AG]AbstractReferencesReviewsResources

Arithmetic of K3 surfaces

Matthias Schuett

Published 2008-08-07, updated 2008-09-23Version 3

We review recent developments in the arithmetic of K3 surfaces. Our focus lies on aspects of modularity, Picard number and rational points. Throughout we emphasise connections to geometry.

Comments: 19 pages; v3: reference [5] added in section 13
Categories: math.AG, math.NT
Subjects: 14J28, 11F11, 11G15, 11G25, 14G05, 14G10
Related articles: Most relevant | Search more
arXiv:1202.1066 [math.AG] (Published 2012-02-06, updated 2013-03-05)
Two lectures on the arithmetic of K3 surfaces
arXiv:0907.3487 [math.AG] (Published 2009-07-20)
On an automorphism of $Hilb^{[2]}$ of certain K3 surfaces
arXiv:math/0510063 [math.AG] (Published 2005-10-04)
Arithmetic of the [19,1,1,1,1,1] fibration