Holomorphic sections of line bundles on the jet spaces of the Riemann sphere

Xiaokun Wang, Ning Zhang

Fix a point $t_0$ in the circle $S^1$. The space $J^k(t_0,{\mathbb{P}}^1)$ of $k$-jets at $t_0$ of $C^{\infty }$ maps from $S^1$ to the Riemann sphere ${\mathbb{P}}^1$ is a $k+1$ dimen…