Abstract
We continue our preparations for the construction of the Jacobi coordinates on the spectral curve Σ. One important step in this construction is to obtain a basis \((\omega _n)_{n\in \mathbb {Z}}\) of the space of square-integrable, holomorphic
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Notes
- 1.
The requirements of square-integrability and holomorphy need to be modified near singular points of Σ, see the precise statements below.
References
J. Feldman, H. Knörrer, E. Trubowitz, Riemann Surfaces of Infinite Genus (American Mathematical Society, Providence, 2003)
J.-P. Serre, Algebraic Groups and Class Fields (Springer, New York, 1988)
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Klein, S. (2018). Asymptotic Behavior of 1-Forms on the Spectral Curve. In: A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation. Lecture Notes in Mathematics, vol 2229. Springer, Cham. https://doi.org/10.1007/978-3-030-01276-2_17
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DOI: https://doi.org/10.1007/978-3-030-01276-2_17
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