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http://hdl.handle.net/2445/207689| Title: | The second fundamental form of the moduli space of cubic threefolds in $\mathcal{A}_5$ |
| Author: | Colombo, Elisabetta Frediani, Paola Naranjo del Val, Juan Carlos Pirola, Gian Pietro |
| Keywords: | Corbes algebraiques Funcions de diverses variables complexes Superfícies algebraiques Geometria algebraica Algebraic curves Functions of several complex variables Algebraic surfaces Algebraic geometry |
| Issue Date: | 27-Oct-2023 |
| Publisher: | Episciences |
| 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. |
| Note: | Reproducció del document publicat a: https://doi.org/10.46298/epiga.2023.9962 |
| It is part of: | Epijournal de Geometrie Algebrique, 2023 |
| URI: | http://hdl.handle.net/2445/207689 |
| Related resource: | https://doi.org/10.46298/epiga.2023.9962 |
| ISSN: | 2491-6765 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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|---|---|---|---|---|
| 819523.pdf | 590.18 kB | Adobe PDF | View/Open |
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