We study the second fundamental form of the Siegel metric in 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.
The second fundamental form of the moduli space of cubic threefolds in A_5.
Paola Frediani;Gian Pietro Pirola.
2023-01-01
Abstract
We study the second fundamental form of the Siegel metric in 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.File in questo prodotto:
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