Luca Giovenzana

Lines, Twisted Cubics on Cubic Fourfolds, and the Monodromy of the Voisin Map

For a general cubic fourfold $Y$ with associated Fano variety of lines $ F $, we show that the monodromy group of the finite degree 16 rational Voisin self-map $ψ\colon F \dashrightarrow F$ is maximal. To achieve this, we investigate the intriguing interplay between $ ψ$ and the...