Let k be a field of characteristic 0. Let X be a smooth complete intersection over k of dimension n − k in the projective space P k , for given positive integers n and k. When k = C, Terasoma ([10])… Expand

We give a modern deformation theoretic interpretation of Dwork's theory of the zeta function of a smooth projective complete intersection variety $X$ over a finite field. Using this interpretation,… Expand

We provide an explicit algorithm to compute a Massey triple product relative to a defining system for a smooth projective plane curve $X$ defined by a homogeneous polynomial $G(\underline x)$ over a… Expand

Let X be a smooth complete intersection over C of dimension n − k in the projective space P n C , for given positive integers n and k. For a given integral homology cycle [γ] ∈ Hn−k(X(C), Z), the… Expand

In this paper, we study the algebraic rank and the analytic rank of the Jacobian of hyperelliptic curves y = x + m for integers m. Namely, we first provide a condition on m that gives a bound of the… Expand