Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

819523.pdf (590.18 KB)

Document type

Article

Version

Published version

Publication date

2023-10-27

Publication license

cc-by-sa (c) Colombo, E. et al., 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/207689

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

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.46298/epiga.2023.9962

Abstract

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.

Subject

Corbes algebraiques, Funcions de diverses variables complexes, Superfícies algebraiques, Geometria algebraica

Subject (English)

Algebraic curves, Functions of several complex variables, Algebraic surfaces, Algebraic geometry

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

COLOMBO, Elisabetta, et al. The second fundamental form of the moduli space of cubic threefolds in $\mathcal{A}_5$. Epijournal de Geometrie Algebrique. 2023. ISSN 2491-6765. [consulted: 11 of August of 2026]. Available at: https://hdl.handle.net/2445/207689

Export metadata

JSON - METS

Share record