# name
The second fundamental form of the moduli space of cubic threefolds in $\mathcal{A}_5$

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Epijournal de Geometrie Algebrique, 2023

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.classification[].value
Funcions de diverses variables complexes

# metadata.dc.title[].value
The second fundamental form of the moduli space of cubic threefolds in $\mathcal{A}_5$