On the motive of Kummer varieties associated to $\Gamma_1(7)$ – Supplement to the paper: The modularity of certain non-rigid Calabi-Yau threefolds (by R. Livné and N. Yui)
نویسندگان
چکیده
منابع مشابه
The Modularity of Certain Non-rigid Calabi–yau Threefolds
Let X be a Calabi–Yau threefold fibred over P by non-constant semi-stable K3 surfaces and reaching the Arakelov–Yau bound. In [STZ], X. Sun, Sh.-L. Tan, and K. Zuo proved that X is modular in a certain sense. In particular, the base curve is a modular curve. In their result they distinguish the rigid and the non-rigid cases. In [SY] and [Y] rigid examples were constructed. In this paper we cons...
متن کاملOn the modularity of rigid Calabi-Yau threefolds: Epilogue
In a recent preprint of F. Gouvea and N. Yui (see arxiv.org/abs/0902.1466) a detailed account is given of a patching argument due to Serre that proves that the modularity of all rigid Calabi-Yau threefolds defined over Q follows from Serre’s modularity conjecture. In this note (a letter to N. Yui) we give an alternative proof of this implication. The main difference with Serre’s argument is tha...
متن کاملModularity of Some Non–rigid Double Octic Calabi–yau Threefolds
The modularity conjecture for Calabi–Yau manifolds predicts that every Calabi–Yau manifold should be modular in the sense that its L– series coincides with the L–series of some automorphic form(s). The case of rigid Calabi–Yau threefolds was (almost) solved by Dieulefait and Manoharmayum in [7, 6]. On the other hand in the non–rigid case it is even not clear which automorphic forms should appea...
متن کاملThe Modularity Conjecture for Rigid Calabi – Yau Threefolds over Q
: We formulate the modularity conjecture for rigid Calabi–Yau threefolds defined over the field Q of rational numbers. We establish the modularity for the rigid Calabi–Yau threefold arising from the root lattice A3. Our proof is based on geometric analysis. 1. The L–series of Calabi–Yau threefolds Let Q be the field of rational numbers, and let Q̄ be its algebraic closure with Galois group G := ...
متن کاملthe evaluation and comparison of two esp textbooks available on the iranian market for teaching english to the students of medicine
abstract this study evaluated and compared medical terminology and english for the students of medicine (ii) as two representatives of the textbooks available on the iranian market for teaching english to the students of medicine. this research was performed on the basis of a teacher’s and a number of students’ attitudes and the students’ needs analysis for two reasons: first, to investigate...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2005
ISSN: 2156-2261
DOI: 10.1215/kjm/1250281651