Modular forms and K3 surfaces
Algebraic Geometry
2013-03-26 v4 Number Theory
Abstract
For every known Hecke eigenform of weight 3 with rational eigenvalues we exhibit a K3 surface over QQ associated to the form. This answers a question asked independently by Mazur and van Straten. The proof builds on a classification of CM forms by the second author.
Keywords
Cite
@article{arxiv.0809.0830,
title = {Modular forms and K3 surfaces},
author = {Noam D. Elkies and Matthias Schuett},
journal= {arXiv preprint arXiv:0809.0830},
year = {2013}
}
Comments
29 pages; v4: few typos corrected