Geodesic
The construction, in explicit form, of an analog of Cauchy's kernel on Riemann surfaces of certain algebraic functions
Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 693-701 Cet article a éte moissonné depuis la source Math-Net.Ru

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An explicit expression, which under certain conditions can serve as an analog of Cauchy's kernel, is constructed for a Riemann surface determined by an algebraic equation. 
@article{MZM_1970_8_6_a1,
     author = {\'E. I. Zverovich},
     title = {The construction, in explicit form, of an analog of {Cauchy's} kernel on {Riemann} surfaces of certain algebraic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {693--701},
     year = {1970},
     volume = {8},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a1/}
}
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É. I. Zverovich. The construction, in explicit form, of an analog of Cauchy's kernel on Riemann surfaces of certain algebraic functions. Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 693-701. http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a1/