The second fundamental form of the moduli space of cubic threefolds in
$\mathcal A_5$Article
Auteurs : Elisabetta Colombo ; Paola Frediani ; Juan Carlos Naranjo ; Gian Pietro Pirola
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Elisabetta Colombo;Paola Frediani;Juan Carlos Naranjo;Gian Pietro Pirola
We study the second fundamental form of the Siegel metric in $\mathcal A_5$ restricted to the locus of intermediate Jacobians of cubic threefolds. We prove that the image of this second fundamental form, which is known to be non-trivial, is contained in the kernel of a suitable multiplication map. Some ingredients are: the conic bundle structure of cubic threefolds, Prym theory, Gaussian maps and Jacobian ideals.
Volume : Volume spécial en l'honneur de Claire Voisin
Publié le : 27 octobre 2023
Accepté le : 31 juillet 2023
Soumis le : 24 août 2022
Mots-clés : Mathematics - Algebraic Geometry, 14J30, 14J10, 32G20, 14H40