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- W2774065226 abstract "A rational function on a real algebraic curve $C$ is called separating if it takes real values only at real points. Such a function defines a covering $Bbb R CtoBbb{RP}^1$. Let $A_1,dots,A_n$ be connected components of $C$. In a recent paper M. Kummer and K. Shaw defined the separating semigroup of $C$ as the set of all sequences $(d_1(f),dots,d_n(f))$ where $f$ is a separating function and $d_i(f)$ is the degree of the restriction of $f$ to $A_i$. We describe the separating semigroup for hyperelliptic curves and for genus 3 curves." @default.
- W2774065226 created "2017-12-22" @default.
- W2774065226 creator A5075211160 @default.
- W2774065226 date "2017-12-11" @default.
- W2774065226 modified "2023-09-27" @default.
- W2774065226 title "Separating semigroup of hyperelliptic curves and of genus 3 curves" @default.
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