dc.contributor.author
Colombo, E.
dc.contributor.author
Frediani, P.
dc.contributor.author
Naranjo, J.C.
dc.contributor.author
Pirola, G.P.
dc.date.accessioned
2024-03-04T10:18:37Z
dc.date.accessioned
2024-09-19T14:30:01Z
dc.date.available
2024-03-04T10:18:37Z
dc.date.available
2024-09-19T14:30:01Z
dc.date.issued
2023-06-29
dc.identifier.uri
http://hdl.handle.net/2072/537449
dc.description.abstract
We study the second fundamental form of the Siegel metric in A5 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. © by the author(s)
eng
dc.description.sponsorship
Elisabetta Colombo Università degli Studi di Pavia, Dipartimento di Matematica, Via Cesare Saldini 50, 20133 Milano, Italy e-mail: elisabetta.colombo@unimi.it Paola Frediani Università degli Studi di Pavia, Dipartimento di Matematica, Via Ferrata 1, 27100 Pavia, Italy e-mail: paola.frediani@unipv.it Juan Carlos Naranjo Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain Centre de Recerca Matemàtica, Edifici C, Campus Bellaterra, 08193 Bellaterra, Spain e-mail: jcnaranjo@ub.edu Gian Pietro Pirola Università degli Studi di Pavia, Dipartimento di Matematica, Via Ferrata 1, 27100 Pavia, Italy e-mail: gianpietro.pirola@unipv.it E. Colombo, P. Frediani and G. P. Pirola are members of Gnsaga (INDAM) and are partially supported by PRIN project Moduli spaces and Lie theory (2017). P. Frediani and G. P. Pirola are partially supported by MIUR: Dipartimenti di Eccellenza Program (2018-2022) -Dept. of Math. Univ. of Pavia. J. C. Naranjo is partially supported by the Spanish MINECO research project PID2019-104047GB-I00.
dc.format.extent
24 p.
cat
dc.publisher
Association de l'Épijournal de Geometrie Algebrique
cat
dc.relation.ispartof
Epijournal de Geometrie Algebrique
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by-sa/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
cubic threefolds; Period map; Prym varieties; second fundamental form
cat
dc.title
The second fundamental form on the moduli space of cubic threefolds in A5
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.46298/EPIGA.2023.9962
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
