The Green's function on the Tate curve is built as a finite sum and the mean field equation is shown to have solutions that exist by convergence from finite quotients and are unique for some parameter values.
Brouwer degree for mean field equation on graph.Bull
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The Mean field equation on the Tate curve
The Green's function on the Tate curve is built as a finite sum and the mean field equation is shown to have solutions that exist by convergence from finite quotients and are unique for some parameter values.