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Notes on Calabi-Yau ordinary differential equations
Jeng-Daw Yu
We investigate the structures of Calabi-Yau differential equations and the relations to the arithmetic of the pencils of Calabi-Yau varieties behind the equations. This provides ex…
K3 surfaces of finite height over finite fields
J. -D. Yu, N. Yui
Arithmetic of K3 surfaces defined over finite fields is investigated. In particular, we show that any K3 surface of finite height over a finite field k of characteristic p > 3 has…
Variation of the unit roots along the Dwork family of Calabi-Yau varieties
Jeng-Daw Yu
We study the variation of unit roots of the Dwork families of Calabi-Yau varieties over a finite field by the method of Dwork-Katz and also from the point of view of formal group l…
Local structure of the moduli space of K3 surfaces over finite characteristic
Jeng-Daw Yu
Let k be a perfect field of characteristic p > 2. In this note, we show that the local moduli space of a non-supersingular K3 surface over k with trivial deformation of the associa…