Speaker
Giovanni Mongardi
(Università degli Studi di Bologna, Italy)
Description
We construct an explicit complex smooth Fano threefold with Picard number $1$, index $1$, and degree $10$ (a Gushel-Mukai threefold) and prove that it is not rational by showing that its intermediate Jacobian has a faithful $\mathsf{PSL}(2,F11)$ action. The construction is based on a very special double EPW sextic. This is joint work with O. Debarre.
Primary author
Giovanni Mongardi
(Università degli Studi di Bologna, Italy)
