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arXiv · 2203.02862

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

Xiaokun Wang·Ning Zhang
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Abstract

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 $k+1$ dimensional complex algebraic manifold. We identify a class of holomorphic sections of line bundles on $J^k(t_0, \mathbb{P}^1)$.

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Xiaokun Wang, Ning Zhang. 2022-03-06. Holomorphic sections of line bundles on the jet spaces of the Riemann sphere. https://arxiv.org/abs/2203.02862

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