Elisabetta Colombo ; Paola Frediani ; Juan Carlos Naranjo ; Gian Pietro Pirola
-
The second fundamental form of the moduli space of cubic threefolds in
$\mathcal A_5$
The second fundamental form of the moduli space of cubic threefolds in
$\mathcal A_5$Article
Authors: Elisabetta Colombo ; Paola Frediani ; Juan Carlos Naranjo ; Gian Pietro Pirola
NULL##NULL##NULL##NULL
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.