Arithmetic of a singular K3 surface
Number Theory
2008-10-29 v3 Algebraic Geometry
Abstract
This paper is concerned with the arithmetic of the elliptic K3 surface with configuration [1,1,1,12,3*]. We determine the newforms and zeta-functions associated to X and its twists. We verify conjectures of Tate and Shioda for the reductions of X at 2 and 3.
Keywords
Cite
@article{arxiv.math/0605560,
title = {Arithmetic of a singular K3 surface},
author = {Matthias Schuett},
journal= {arXiv preprint arXiv:math/0605560},
year = {2008}
}
Comments
12 pages, 2 figures; final version: two typos corrected, references updated