Update on the modularity of Calabi-Yau varieties

By Noriko Yui. 2003

58 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f52b086b29c53a28de48f569052ae89b3d805d51

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. S. Cynk
2. J. Manoharmayum
3. K. Hulek
4. Luis Víctor Dieulefait
5. Matthias Schütt

In Mathematical Physics

1. S. Cynk
2. J. Manoharmayum
3. K. Hulek
4. Luis Víctor Dieulefait
5. Matthias Schütt

Citations in the corpus

• Modularity of rigid Calabi-Yau threefolds over Q (2003, background): “In particular we prove that every rigid Calabi-Yau threefold with good reduction at 3 and 7 is modular.”
• Higher-Dimensional Modular Calabi–Yau Manifolds (2007, methodology): “By a variant of the Fontaine–Mazur conjecture [7], also asked by Yui (see [21] for a recent account), one expects that the middle cohomology of a rigid Calabi–Yau threefold defined over Q gives rise to an Lseries which is that of a weight 4 modular form.”