Modular forms and K3 surfaces

Details Modular forms and K3 surfaces Modular forms and K3 surfaces

2008-09-04

arxiv.org/abs/0809.0830v2

Mathematics

Algebraic Geometry

24 pages; v2: two additions to Table 1, typos corrected, references updated

Scientific paper

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.

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