Blow-ups of ${\mathbb{P}}^{n-3}$ at $n$ points and spinor varieties

Bernd Sturmfels, Mauricio Velasco

Work of Dolgachev and Castravet-Tevelev establishes a bijection between the $2^{n-1}$ weights of the half-spin representations of ${\mathfrak{so}}_{2n}$ and the generators of the Cox…