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math.NT2005★ 1 cited
Chow groups and higher congruences for the number of rational points on proper varieties over finite fields
Najmuddin Fakhruddin
Given a proper family of varieties over a smooth base, with smooth total space and general fibre, all over a finite field k with q elements, we show that a finiteness hypothesis on…
math.NT2002
Boundedness results for periodic points on algebraic varieties
Najmuddin Fakhruddin
We prove that if f is a self-map of an algebraic variety over a field K, then under certain conditions on X, f and K the set of possible periods of K-valued periodic points of f is…