Flexibility of affine cones over blow-ups of weighted projective planes

In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara

Let $S_m^n$ be the surface obtained by blowing up $\mathbb{P}(1,1,m)$ at $n$ general smooth points, where $m\ge 2$. For every very ample Cartier divisor $H$ on $S_m^n$, we prove th…