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Rational cubic fourfolds in Hassett divisors

Published 6 May 2019 in math.AG | (1905.01936v1)

Abstract: We prove that every Hassett's Noether-Lefschetz divisor of special cubic fourfolds contains a union of three codimension-two subvarieties, parametrizing rational cubic fourfolds, in the moduli space of smooth cubic fourfolds.

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