Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

16^th  of April 2024, 14:30 -16:00, room “Dal Passo”

 

 

 

 

On the local geometry of the moduli spaces of cubic threefolds in A_5 and of (2,2) threefolds in A_9

 

 

 

 

 

Elisabetta Colombo

Università degli studi di Milano

 

 

 

We will report on joint works with Paola Frediani, Juan Carlos Naranjo and Gian Pietro Pirola. We study the second fundamental form of the Siegel metric in A_5 restricted to the moduli space of the intermediate jacobians cubic threefolds and the second fundamental form in A_9 restricted to the moduli of the the intermediate jacobians of (2,2) threefolds in P^2xP^2 . In both case there is a natural composition with a multiplication map. For cubic threefold this composition results to be zero, while for (2,2) threefolds it gives a not zero holomorphic section of a bundle.

 

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry