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On the Tate conjecture for the Fano surfaces of cubic threefolds

Published 13 Mar 2012 in math.AG | (1203.2913v2)

Abstract: A Fano surface of a smooth cubic threefold X in P4 parametrizes the lines on X. In this note, we prove that a Fano surface satisfies the Tate conjecture over a field of finite type over the prime field and characteristic not 2.

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