Modular forms and K3 surfaces
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2008
- DOI:
- 10.48550/arXiv.0809.0830
- arXiv:
- arXiv:0809.0830
- Bibcode:
- 2008arXiv0809.0830E
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 14J28;
- 11F11;
- 11F23;
- 11G40;
- 14G10
- E-Print:
- 29 pages