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• W124980261 abstract "We study the problem of $d$-gonality of the modular curve $X_0(N)$. As a result, we can give an upperbound of the level $N$ by means of $d$. This generalizes Ogg's result on hyperelliptic modular curves ($d = 2$). As a corollary of this result, we prove an analogue of the strong Uniform Boundedness Conjecture for elliptic curves defined over the function fields of curves. If a base curve is $d$-gonal, we can bound orders of torsions of Mordell-Weil groups in terms of $d$ uniformly." @default.
• W124980261 created "2016-06-24" @default.
• W124980261 creator A5051077930 @default.
• W124980261 creator A5083848675 @default.
• W124980261 date "1996-03-29" @default.
• W124980261 modified "2023-09-27" @default.
• W124980261 title "d-gonality of modular curves and bounding torsions" @default.
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• W124980261 hasPublicationYear "1996" @default.
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