# 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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top## How to cite

topMatthew 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

top- [1] M. Coppens, A study of the schemes $W{\xb9}_{e}$ of smooth plane curves, in: Proc. 1st Belgian-Spanish Week on Algebra and Geometry, R.U.C.A., 1988, 29-63.
- [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] 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] M. Klassen, Algebraic points of low degree on curves of low rank, Ph.D. thesis, University of Arizona, 1993.
- [5] M. Namba, Families of Meromorphic Functions on Compact Riemann Surfaces, Lecture Notes in Math. 767, Springer, Berlin, 1979. Zbl0417.32008
- [6] D. Rohrlich, Points at infinity on the Fermat curves, Invent. Math. 39 (1977), 95-127. Zbl0357.14010
- [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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