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arxiv: 1203.2913 · v2 · pith:XL2WSTRUnew · submitted 2012-03-13 · 🧮 math.AG

On the Tate conjecture for the Fano surfaces of cubic threefolds

classification 🧮 math.AG
keywords fanoconjecturecubicfieldsurfacetatecharacteristicfinite
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A Fano surface of a smooth cubic threefold X in P^4 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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