A $(24_4,32_3)$-configuration on the Schur quartic with logarithmic Chern slope $14/5$

Bartosz Naskręcki, Piotr Pokora

Let $X\subset {\mathbb{P}}^3$ be the Schur quartic \[ x_0^4-x_0x_1^3-x_2^4+x_2x_3^3=0. \] We exhibit a connected arrangement of $24$ lines on $X$, defined over $\mathbb{Q}(\sqrt{-3})$…