Algebraic points of low degree on the Fermat quintic

Matthew Klassen; Pavlos Tzermias

Acta Arithmetica (1997)

  • Volume: 82, Issue: 4, page 393-401
  • ISSN: 0065-1036

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Matthew Klassen, and Pavlos Tzermias. "Algebraic points of low degree on the Fermat quintic." Acta Arithmetica 82.4 (1997): 393-401. <http://eudml.org/doc/207100>.

@article{MatthewKlassen1997,
author = {Matthew Klassen, Pavlos Tzermias},
journal = {Acta Arithmetica},
keywords = {Fermat curves; rational points; algebraic points of low degree; Fermat quintic},
language = {eng},
number = {4},
pages = {393-401},
title = {Algebraic points of low degree on the Fermat quintic},
url = {http://eudml.org/doc/207100},
volume = {82},
year = {1997},
}

TY - JOUR
AU - Matthew Klassen
AU - Pavlos Tzermias
TI - Algebraic points of low degree on the Fermat quintic
JO - Acta Arithmetica
PY - 1997
VL - 82
IS - 4
SP - 393
EP - 401
LA - eng
KW - Fermat curves; rational points; algebraic points of low degree; Fermat quintic
UR - http://eudml.org/doc/207100
ER -

References

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  1. [1] M. Coppens, A study of the schemes W ¹ e of smooth plane curves, in: Proc. 1st Belgian-Spanish Week on Algebra and Geometry, R.U.C.A., 1988, 29-63. 
  2. [2] O. Debarre and M. Klassen, Points of low degree on smooth plane curves, J. Reine Angew. Math. 446 (1994), 81-87. Zbl0784.14014
  3. [3] 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. Zbl0369.14011
  4. [4] M. Klassen, Algebraic points of low degree on curves of low rank, Ph.D. thesis, University of Arizona, 1993. 
  5. [5] M. Namba, Families of Meromorphic Functions on Compact Riemann Surfaces, Lecture Notes in Math. 767, Springer, Berlin, 1979. Zbl0417.32008
  6. [6] D. Rohrlich, Points at infinity on the Fermat curves, Invent. Math. 39 (1977), 95-127. Zbl0357.14010
  7. [7] P. Tzermias, Mordell-Weil groups of the Jacobian of the 5-th Fermat curve, Proc. Amer. Math. Soc. 125 (1997), 663-668. Zbl0858.14014

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