Algebraic points of low degree on the Fermat quintic

• Autorzy: Matthew Klassen , Pavlos Tzermias
• Języki publikacji: EN

Kategorie tematyczne

• 14H45: Special curves and curves of low genus
• 14H25: Arithmetic ground fields
• 11G30: Curves of arbitrary genus or genus ≠ 1 over global fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 82
• Numer: 4
• Strony: 393-401

Daty

wydano

1997

otrzymano

1997-03-24

Twórcy

autor

Matthew Klassen

• Department of Mathematics, Pacific Lutheran University, Tacoma, Washington 98447, U.S.A.

autor

Pavlos Tzermias

• Centre de Recerca Matemàtica, Institut d'Estudis Catalans, Apartat 50, E-08193 Bellaterra, Spain

Bibliografia

• [1] M. Coppens, A study of the schemes $W¹_e$ 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.
• [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.
• [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.
• [6] D. Rohrlich, Points at infinity on the Fermat curves, Invent. Math. 39 (1977), 95-127.
• [7] P. Tzermias, Mordell-Weil groups of the Jacobian of the 5-th Fermat curve, Proc. Amer. Math. Soc. 125 (1997), 663-668.