Details
| Original language | English |
|---|---|
| Pages (from-to) | 1965-1975 |
| Number of pages | 11 |
| Journal | Journal of number theory |
| Volume | 129 |
| Issue number | 8 |
| Publication status | Published - Aug 2009 |
| Externally published | Yes |
Abstract
Keywords
- Calabi-Yau threefold, Complex multiplication, Modular form, Weil restriction
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of number theory, Vol. 129, No. 8, 08.2009, p. 1965-1975.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Generalised Kummer constructions and Weil restrictions
AU - Cynk, Sławomir
AU - Schütt, Matthias
N1 - Funding information: This paper originated from discussions while the first author visited Universität Hannover. Support by the DFG Schwerpunkt 1094 “Globale Methoden in der komplexen Geometrie” is gratefully acknowledged. We particularly thank K. Hulek. The paper was finished while the second author enjoyed the hospitality of Harvard University, sponsored by DFG-grants Schu 2266/2-1 and Schu 2266/2-2. We are also grateful to the referee for helpful suggestions.
PY - 2009/8
Y1 - 2009/8
N2 - We use a generalised Kummer construction to realise all but one known weight four newforms with complex multiplication and rational Fourier coefficients in Calabi-Yau threefolds defined over Q. The Calabi-Yau manifolds are smooth models of quotients of the Weil restrictions of elliptic curves with CM of class number three.
AB - We use a generalised Kummer construction to realise all but one known weight four newforms with complex multiplication and rational Fourier coefficients in Calabi-Yau threefolds defined over Q. The Calabi-Yau manifolds are smooth models of quotients of the Weil restrictions of elliptic curves with CM of class number three.
KW - Calabi-Yau threefold
KW - Complex multiplication
KW - Modular form
KW - Weil restriction
UR - http://www.scopus.com/inward/record.url?scp=67349113865&partnerID=8YFLogxK
UR - https://arxiv.org/abs/0710.4565
U2 - 10.1016/j.jnt.2008.09.010
DO - 10.1016/j.jnt.2008.09.010
M3 - Article
AN - SCOPUS:67349113865
VL - 129
SP - 1965
EP - 1975
JO - Journal of number theory
JF - Journal of number theory
SN - 0022-314X
IS - 8
ER -