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Holomorphic sections of line bundles on the jet spaces of the Riemann sphere
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classification
math.CVmath.AGmath.COmath.DG
keywords
mathbbbundlesholomorphiclineriemannsectionsspherealgebraic
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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