Antonio Laface

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We show that smooth cubic hypersurfaces of dimension n defined over a finite field F q contain a line defined over F q in each of the following cases: • n = 3 and q ≥ 11; • n = 4, and q = 2 or q ≥ 5; • n ≥ 5. For a smooth cubic threefold X, the variety of lines contained in X is a smooth projective surface F (X) for which the Tate conjecture holds, and we(More)
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