Torsion points on fermat curves

Robert F. Coleman

Compositio Mathematica (1986)

  • Volume: 58, Issue: 2, page 191-208
  • ISSN: 0010-437X

How to cite


Coleman, Robert F.. "Torsion points on fermat curves." Compositio Mathematica 58.2 (1986): 191-208. <>.

author = {Coleman, Robert F.},
journal = {Compositio Mathematica},
keywords = {Fermat curve; p-adic integration; torsion points on the jacobian; torsion packet},
language = {eng},
number = {2},
pages = {191-208},
publisher = {Martinus Nijhoff Publishers},
title = {Torsion points on fermat curves},
url = {},
volume = {58},
year = {1986},

AU - Coleman, Robert F.
TI - Torsion points on fermat curves
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 58
IS - 2
SP - 191
EP - 208
LA - eng
KW - Fermat curve; p-adic integration; torsion points on the jacobian; torsion packet
UR -
ER -


  1. [C] R. Coleman: p-adic Abelian integrals and torsion points on curves, to appear. Zbl0578.14038
  2. [F] D.K. Faddeev: On divisor class groups of some algebraic curves, Dokl. Tom.136: 296-298( = Sov. Math., Vol. 2, No. 1: 67-69, 1961). Zbl0097.02403MR130869
  3. [G] R. Greenberg: On the Jacobian variety of some algebraic curves, Comp. Math., 42 (1981) 345-359. Zbl0475.14026MR607375
  4. [G-R] B. Gross and D. Rohrlich: Some results on the Mordell-Weil group of the Jacobian of the Fermat curve, Invent. Math.44 (1978) 201-224. Zbl0369.14011MR491708
  5. [R] M. Raynaud: Courbes sur une variété abélienne et points de torsion, Invent. Math.71 (1983) 207-233. Zbl0564.14020MR688265
  6. [Ro] D. Rohrlich: Points at infinity on the Fermat curves, Invent. Math .39 (1977) 95-127. Zbl0357.14010MR441978

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