Details
| Original language | English |
|---|---|
| Pages (from-to) | 106-131 |
| Number of pages | 26 |
| Journal | Advances in mathematics |
| Volume | 240 |
| Publication status | Published - 20 Jun 2013 |
Abstract
Keywords
- Complex multiplication, Modular form, Singular K3 surface, 14J28, 11F11, 11F23, 11G40, 14G10
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Advances in mathematics, Vol. 240, 20.06.2013, p. 106-131.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Modular forms and K3 surfaces
AU - Elkies, Noam D.
AU - Schütt, Matthias
N1 - Funding information: The first author gratefully acknowledges partial funding from NSF (grant DMS-0501029 ). The second author gratefully acknowledges partial funding from DFG (grants Schu 2266/2-1 , Schu 2266/2-2 ).
PY - 2013/6/20
Y1 - 2013/6/20
N2 - For every known Hecke eigenform of weight 3 with rational eigenvalues we exhibit a K3 surface over Q 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.
AB - For every known Hecke eigenform of weight 3 with rational eigenvalues we exhibit a K3 surface over Q 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.
KW - Complex multiplication
KW - Modular form
KW - Singular K3 surface
KW - 14J28
KW - 11F11
KW - 11F23
KW - 11G40
KW - 14G10
UR - http://www.scopus.com/inward/record.url?scp=84875780913&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2013.03.008
DO - 10.1016/j.aim.2013.03.008
M3 - Article
AN - SCOPUS:84875780913
VL - 240
SP - 106
EP - 131
JO - Advances in mathematics
JF - Advances in mathematics
SN - 0001-8708
ER -