[KSCI] Korea Science Citation Index Service

Jeon, Daeyeol (Department of Mathematics education Kongju National University)

Publication Information

Abstract

In this work, we determine all the curves $X^+_1(N)$ which are sub-hyperelliptic.

Keywords

modular curve; hyperelliptic;

Citations & Related Records

1	M. Furumoto and Y. Hasegawa, Hyperelliptic quotients of modular curves $X_0$ (N), Tokyo J. Math. 22 (1999), no. 1, 105-125. DOI
2	Y. Hasegawa, Hyperelliptic modular curves $X^{\ast}_0$ (N), Acta Arith. 81 (1997), no. 4, 369-385. DOI
3	D. Jeon and C. H. Kim, Bielliptic modular curves $X_1$ (N), Acta Arith. 112 (2004), 75-86. DOI ScienceOn
4	D. Jeon, C. H. Kim and E. Park, On the torsion of elliptic curves over quartic number fields, J. London Math. Soc. 74 (2006), 1-12. DOI
5	C. H. Kim and J. K. Koo, The normalizer of $\Gamma_1$ (N) in $PSL_2$ (R), Comm. Algebra, 28 (2000), no. 11, 5303-5310. DOI ScienceOn
6	C. H. Kim and J. K. Koo, Estimation of genus for certain arithmetic groups, Comm. Algebra, 32 (2004), no. 7, 2479-2495. DOI ScienceOn
7	J.-F. Mestre, Corps euclidiens, unites exceptionnelles et courbes elliptiques, J. Number Theory 13 (1981), no. 2, 123-137. DOI
8	A. Ogg, Hyperelliptic modular curves, Bull. Soc. Math. France 102 (1974), 449-462.

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