Quadric surfaces in the Pfaffian hypersurface in ${\mathbb{P}}^{14}$

Ada Boralevi, Maria Lucia Fania, Emilia Mezzetti

We study smooth quadric surfaces in the Pfaffian hypersurface in ${\mathbb{P}}^{14}$ parameterising $6\times 6$ skew-symmetric matrices of rank at most 4, not intersecting the Grass…