| Résume |
Abstract. A real function is totally real if the inverse image of any real value consists entirely of real points. Such a function gives an (unramified) covering of a real curve over the circle. Kummer and Shaw have introduced the "separating semigroup" of a real curve as all possible multidegrees appearing in this way. We overview what is known on this semigroup, paying a special attention to the elements of degree equal to the genus of the curve. Based on a joint work with Stepan Orevkov.
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