Geodesic
Spectral Curves for Cauchy--Riemann Operators on Punctured Elliptic Curves
Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 4, pp. 86-90.

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We show that one can define a spectral curve for the Cauchy–Riemann operator on a punctured elliptic curve under appropriate boundary conditions. The algebraic curves thus obtained arise, for example, as irreducible components of the spectral curves of minimal tori with planar ends in $\mathbb{R}^3$. It turns out that these curves coincide with the spectral curves of certain elliptic KP solitons studied by Krichever.
Keywords: Cauchy–Riemann operator, spectral curve
Mots-clés : elliptic soliton. 
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С. Bohle; I. A. Taimanov. Spectral Curves for Cauchy--Riemann Operators on Punctured Elliptic Curves. Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 4, pp. 86-90. http://geodesic.mathdoc.fr/item/FAA_2013_47_4_a7/

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