We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S-4(Gamma(0)(6)). We also give a mod p(2) combinatorial expression for these coefficients.
机构:
Hongik Univ, Dept Math Educ, 42-1 Sangsu Dong, Seoul 121791, South Korea
Korea Inst Adv Study, Sch Math, Seoul 130722, South KoreaHongik Univ, Dept Math Educ, 42-1 Sangsu Dong, Seoul 121791, South Korea
Lee, Nam-Hoon
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,
2020,
141
: 195
-
219
机构:
Hongik Univ, Dept Math Educ, 42-1 Sangsu Dong, Seoul 121791, South Korea
Korea Inst Adv Study, Sch Math, Seoul 130722, South KoreaHongik Univ, Dept Math Educ, 42-1 Sangsu Dong, Seoul 121791, South Korea
Lee, Nam-Hoon
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,
2020,
141
: 195
-
219