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TETRAGONAL MODULAR CURVES X₁(M,N)

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In this work, we determine all the modular curves X₁(M,N) which are tetragonal.

Abstract

In this work, we determine all the modular curves X₁(M,N) which are tetragonal.

참고문헌 (10)

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  2. M. H. Baker, "Finiteness results for modular curves of genus at least 2", Amer. J. Math, 127(6), pp.1325~1387 (2005)
  3. M. Coppens, "Secant spaces and Clifford’s theorem", Compositio Math, 78, pp.193~212 (1991)
  4. M. Green, "Koszul cohomology and the geometry of projective varieties I", J. Differ. Geom, 19, pp.125~171 (1984)
  5. M. Green, "Some results on the syzygies of finite sets and algebraic curves", Compositio Math, 67, pp.301~314 (1988)
  6. Y. Hasegawa, "Trigonal modular curves", Acta Arith, 88, pp.129~140 (1999)
  7. N. Ishii, "Hyperelliptic modular curves", Tsukuba J. Math, 15, pp.413~423 (1991)
  8. D. Jeon, "On the arithmetic of certain modular curves", Acta Arith, 130(2), pp.181~193 (2007)
  9. D. Jeon, "On the torsion of elliptic curves over quartic number fields", J. London Math. Soc, (2), pp.1~12 (2006)
  10. "William A.Stein"[URL]

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