30 citations · 71 across the 15 of their papers we have counts for
15 papers
Supercongruences for rigid hypergeometric Calabi--Yau threefolds
Ling Long, Fang-Ting Tu, Noriko Yui +1
We establish the supercongruences for the fourteen rigid hypergeometric Calabi--Yau threefolds over conjectured by Rodriguez-Villegas in 2003. Our first method is based…
Elliptic Calabi-Yau threefolds over a del Pezzo surface
Simon Rose, Noriko Yui
We consider certain elliptic threefolds over the projective plane (more generally over certain rational surfaces) with a section in Weierstrass normal form. In particular, over a d…
Modularity of Calabi--Yau varieties: 2011 and beyond
Noriko Yui
This paper presents the current status on modularity of Calabi-Yau varieties since the last update in 2003. We will focus on Calabi-Yau varieties of dimension at most three. Here m…
Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over Q
Yasuhiro Goto, Ron Livne, Noriko Yui
We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the a…
Quadratic twists of rigid Calabi-Yau threefolds over $\QQ$
Fernando Q. Gouvêa, Ian Kiming, Noriko Yui
We consider rigid Calabi--Yau threefolds defined over $\QQ$ and the question of whether they admit quadratic twists. We give a precise geometric definition of the notion of a quadr…
Zeta-functions of certain K3 fibered Calabi--Yau threefolds
Yasuhiro Goto, Remke Kloosterman, Noriko Yui
We consider certain -fibered Calabi--Yau threefolds. One class of such Calabi--Yau threefolds are constructed by Hunt and Schimmrigk using twist maps. They are realized in weig…