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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

On the second fundamental form of cubic threefolds

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Data: 

28/11/2022 - 15:30

Aula: 

Aula 4

Speaker: 

Paola Frediani

Categoria: 

Seminari di Algebra e Geometria Algebrica

Afferenza: 

Università di Pavia

Descrizione: 

Abstract : I will report on some geometric properties of the second fundamental form of the embedding which assigns to a cubic threefold X its intermediate Jacobian.The choice of a line on X defines a conic bundle structure on X over the projective plane. The discriminant curve is a quintic plane curve endowed with a natural etale double cover and the intermediate Jacobian is the Prym variety of this cover. We use the Hodge-Gaussian maps and the second Prym canonical Gaussian map associated with this quintic. This is a joint work with E. Colombo, J.C. Naranjo and G.P. Pirola.