Arithmetic of cyclic quotients of the Fermat quintic
Pavlos Tzermias
Acta Arithmetica, Tome 84 (1998), p. 375-384 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1998-01-01
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Pavlos Tzermias. Arithmetic of cyclic quotients of the Fermat quintic. Acta Arithmetica, Tome 84 (1998) pp. 375-384. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav84i4p375bwm/

[000] [1] R. Coleman:, Torsion points on abelian étale coverings of 𝐏¹ - {0,1,∞}, Trans. Amer. Math. Soc. 311 (1989), 185-208.

[001] [2] R. Coleman:, Torsion points on Fermat curves, Compositio Math. 58 (1986), 191-208. | Zbl 0604.14019

[002] [3] D. Faddeev:, On the divisor class groups of some algebraic curves, Dokl. Akad. Nauk SSSR 136 (1961), 296-298 (in Russian); English transl.: Soviet Math. Dokl. 2 (1961), 67-69.

[003] [4] D. Grant:, A proof of quintic reciprocity using the arithmetic of y = x⁵ + 1/4, Acta Arith. 75 (1996), 321-337.

[004] [5] R. Greenberg:, On the Jacobian variety of some algebraic curves, Compositio Math. 42 (1981), 345-359. | Zbl 0475.14026

[005] [6] 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

[006] [7] N. Koblitz: and D. Rohrlich, Simple factors in the Jacobian of the Fermat curve, Canad. J. Math. 30 (1978), 1183-1205. | Zbl 0399.14023

[007] [8] M. Kurihara:, Some remarks on conjectures about cyclotomic fields and K-groups of Z, Compositio Math. 81 (1992), 223-236. | Zbl 0747.11055

[008] [9] C. Lim:, The geometry of the Jacobian of the Fermat curve of exponent five, J. Number Theory 41 (1991), 102-115.

[009] [10] D. Prapavessi:, On the Jacobian of the Klein curve, Proc. Amer. Math. Soc. 122 (1994), 971-978. | Zbl 0823.14016

[010] [11] D. Rohrlich:, Points at infinity on the Fermat curves, Invent. Math. 39 (1977), 95-127. | Zbl 0357.14010

[011] [12] P. Tzermias:, Torsion points on Fermat Jacobians, Internat. Math. Res. Notices 1997, no. 2, 57-66. | Zbl 0906.11032