Geodesic
Some Non-Special Cubic Fourfolds
Documenta mathematica, Tome 23 (2018), pp. 637-651.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In [20], Ranestad and Voisin showed, quite surprisingly, that the divisor in the moduli space of cubic fourfolds consisting of cubics "apolar to a Veronese surface" is not a Noether-Lefschetz divisor. We give an independent proof of this by exhibiting an explicit cubic fourfold $X$ in the divisor and using point counting methods over finite fields to show $X$ is Noether-Lefschetz general. We also show that two other divisors considered in [20] are not Noether-Lefschetz divisors.
Classification : 14C30, 14D10, 14G10, 14G15, 14J10, 14J28, 14J35, 14Q15
Keywords: cubic fourfolds, computation, Zeta functions, Noether-Lefschetz loci 
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     title = {Some {Non-Special} {Cubic} {Fourfolds}},
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Addington, Nicolas; Auel, Asher. Some Non-Special Cubic Fourfolds. Documenta mathematica, Tome 23 (2018), pp. 637-651. http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a44/