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math.AG1999
A remark on periodic points on varieties over a field of finite type over Q
Shu Kawaguchi
Let M be a field of finite type over {\bf Q} and X a variety defined over M. We study when the set {P \in X(K) \mid f^{\circ n} (P) = P for some n \geq 1} is finite for any finite…
math.AG1999
Height and Intersection for a family of semi-stable curves
Shu Kawaguchi
In this paper, we consider an arithmetic Hodge index theorem for a family of semi-stable curves f: X \to B with f_{\bf C} being smooth, generalizing Faltings-Hriljac's arithmetic H…