Preprint
Sep 2026
On Fano varieties of index one that are linear sections of Grassmannians of lines
In this paper we consider the general $n-2$ dimensional linear section $X$ of the Grassmannian $\mathbb G(1,n)$ of lines in $\mathbb{P}^n$, that is a Fano variety of index 1. We first prove that for $n$ odd $X$ is birational to a hypersurface defined by a pfaffian determinant of order $n+1$ of linear forms in $\mathbb{...
M. Bolognesi, C. Ciliberto, A. Verra
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