Details
| Original language | English |
|---|---|
| Pages (from-to) | 953-987 |
| Number of pages | 35 |
| Journal | Documenta mathematica |
| Volume | 17 |
| Issue number | 2012 |
| Publication status | Published - 2012 |
Abstract
Keywords
- Consani-Scholten quintic, Faltings-Serre-Livné method, Hilbert modular form, Sturm bound
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Documenta mathematica, Vol. 17, No. 2012, 2012, p. 953-987.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Modularity of the Consani-Scholten quintic
AU - Gil, José Burgos
AU - Dieulefait, Luis
AU - Pacetti, Ariel
AU - Schütt, Matthias
PY - 2012
Y1 - 2012
N2 - We prove that the Consani-Scholten quintic, a Calabi-Yau threefold over Q, is Hilbert modular. For this, we refine several techniques known from the context of modular forms. Most notably, we extend the Faltings-Serre-Livné method to induced fourdimensional Galois representations over Q. We also need a Sturm bound for Hilbert modular forms; this is developed in an appendix by José Burgos Gil and the second author.
AB - We prove that the Consani-Scholten quintic, a Calabi-Yau threefold over Q, is Hilbert modular. For this, we refine several techniques known from the context of modular forms. Most notably, we extend the Faltings-Serre-Livné method to induced fourdimensional Galois representations over Q. We also need a Sturm bound for Hilbert modular forms; this is developed in an appendix by José Burgos Gil and the second author.
KW - Consani-Scholten quintic
KW - Faltings-Serre-Livné method
KW - Hilbert modular form
KW - Sturm bound
UR - http://www.scopus.com/inward/record.url?scp=84918526050&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84918526050
VL - 17
SP - 953
EP - 987
JO - Documenta mathematica
JF - Documenta mathematica
SN - 1431-0635
IS - 2012
ER -