Algebraic points of low degree on the Fermat quintic
Matthew Klassen ; Pavlos Tzermias
Acta Arithmetica, Tome 80 (1997), p. 393-401 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:207100 
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     title = {Algebraic points of low degree on the Fermat quintic},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {393-401},
     zbl = {0917.11022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav82i4p393bwm}
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Matthew Klassen; Pavlos Tzermias. Algebraic points of low degree on the Fermat quintic. Acta Arithmetica, Tome 80 (1997) pp. 393-401. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav82i4p393bwm/

[000] [1] M. Coppens, A study of the schemes W¹e of smooth plane curves, in: Proc. 1st Belgian-Spanish Week on Algebra and Geometry, R.U.C.A., 1988, 29-63.

[001] [2] O. Debarre and M. Klassen, Points of low degree on smooth plane curves, J. Reine Angew. Math. 446 (1994), 81-87. | Zbl 0784.14014

[002] [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. | Zbl 0369.14011

[003] [4] M. Klassen, Algebraic points of low degree on curves of low rank, Ph.D. thesis, University of Arizona, 1993.

[004] [5] M. Namba, Families of Meromorphic Functions on Compact Riemann Surfaces, Lecture Notes in Math. 767, Springer, Berlin, 1979. | Zbl 0417.32008

[005] [6] D. Rohrlich, Points at infinity on the Fermat curves, Invent. Math. 39 (1977), 95-127. | Zbl 0357.14010

[006] [7] P. Tzermias, Mordell-Weil groups of the Jacobian of the 5-th Fermat curve, Proc. Amer. Math. Soc. 125 (1997), 663-668. | Zbl 0858.14014