In this paper we show that in a stable range the cohomology of the space of regular algebraic sections of a line bundle $\mathscr{L}$on a curve $X$ is isomorphic to the cohomology of the space of regular $C^{infty}$sections of the same line bundle.
Faithful action on the space of global differentials of an algebraic curve
Sigma, tau and Abelian functions of algebraic curves
A Theory of Duality for Algebraic Curves
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