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Cubic fourfolds fibered in sextic del Pezzo surfaces

Published 16 Jun 2016 in math.AG | (1606.05321v4)

Abstract: We exhibit new examples of rational cubic fourfolds, parametrized by a countably infinite union of codimension-two subvarieties in the moduli space. Our examples are fibered in sextic del Pezzo surfaces over the projective plane; they are rational whenever the fibration has a rational section.

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