dc.contributor.author
Colombo, E.
dc.contributor.author
Frediani, P.
dc.contributor.author
Naranjo, Juan Carlos
dc.contributor.author
Pirola, G. P.
dc.date.accessioned
2025-06-16T07:47:21Z
dc.date.available
2025-06-16T07:47:21Z
dc.date.issued
2025-01-06
dc.identifier.uri
http://hdl.handle.net/2072/484443
dc.description.abstract
We study the local geometry of the moduli space of intermediate Jacobians of (2,2)-threefolds in P2× P2. More precisely, we prove that a composition of the second fundamental form of the Siegel metric in A9 restricted to this moduli space, with a natural multiplication map is a nonzero holomorphic section of a vector bundle. We also describe its kernel. We use the two conic bundle structures of these threefolds, Prym theory, gaussian maps and Jacobian ideals.
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dc.description.sponsorship
E. Colombo, P. Frediani and G. P. Pirola are members of GNSAGA (INdAM), and are partially supported by PRIN project \u201CModuli spaces and Lie theory\u201D (2017) and by PRIN project \u201CModuli spaces and special varieties\u201D (2022). J. C. Naranjo is supported by the Departament de Recerca i Universitats de la Generalitat de Catalunya (2021 SGR 00697), the Proyecto de Investigaci\u00F3n PID2023-147642NB-100, and the Spanish State Research Agency, through the Severo Ochoa and Mar\u00EDa de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M).
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dc.format.extent
16 p.
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dc.publisher
European Mathematical Society Publishing House
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dc.relation.ispartof
Revista Matematica Iberoamericana
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Intermediate Jacobian
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dc.subject.other
Second fundamental form
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dc.subject.other
Threefolds
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dc.title
On the local geometry of the moduli space of (2,2)-threefolds in A9
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.4171/RMI/1542
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
