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Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points. (English) Zbl 0938.14012
Here the author constructs a cyclic covering $$\pi:X\to E$$ with $$X$$ a smooth curve of genus $$g\geq 7$$, $$E$$ an elliptic curve, $$\pi$$ a cyclic covering ramified at exactly two points, say $$P$$ and $$Q$$, which are totally ramified and such that (seeing them as Weierstrass points on $$X)$$ their gap sequence is $$\{1,\dots,g-2,g,2g-1\}$$ (characteristic 0).
Reviewer: E.Ballico (Povo)
##### MSC:
 14H55 Riemann surfaces; Weierstrass points; gap sequences 14H52 Elliptic curves 11G05 Elliptic curves over global fields 14H30 Coverings of curves, fundamental group 14E20 Coverings in algebraic geometry
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