an:01100481
Zbl 0938.14012
Komeda, Jiryo
Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points
EN
Acta Arith. 81, No. 3, 275-297 (1997).
00042589
1997
j
14H55 14H52 11G05 14H30 14E20
total ramification point; cyclic covering; smooth curve; Weierstrass points; gap sequence
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).
E.Ballico (Povo)