Geodesic
An old letter from J. Tate to B. Dwork, as viewed recently by J. Tate and B. Mazur
Izvestiya. Mathematics, Tome 80 (2016) no. 5, pp. 954-957 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, the constant $C$, which is defined in the letter for a fixed ordinary elliptic curve, is viewed as a special value of formal function on a vast ind-profinite “Galois cover of the ‘Hasse Domain’ ” $H$ parametrizing all ordinary elliptic curves, viewed as a formal scheme.
Keywords: discrete valuation ring, elliptic curve, cover.
Mots-clés : Hasse invariant, Frobenius endomorphism 
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J. Tate. An old letter from J. Tate to B. Dwork, as viewed recently by J. Tate and B. Mazur. Izvestiya. Mathematics, Tome 80 (2016) no. 5, pp. 954-957. http://geodesic.mathdoc.fr/item/IM2_2016_80_5_a6/

[1] M. Lazard, “Sur les groupes de Lie formels à un paramètre”, Bull. Soc. Math. France, 83 (1955), 251–274 | MR | Zbl

[2] J. Lubin, J. Tate, “Formal moduli for one-parameter formal Lie groups”, Bull. Soc. Math. France, 94 (1966), 49–59 | MR | Zbl

[3] B. Dwork, “On the Tate constant”, Compositio Math., 61:1 (1987), 43–59 | MR | Zbl

[4] B. Dwork, “A deformation theory for the zeta function of a hypersurface”, Proc. Internat. Congr. Mathematicians (Stockholm, 1962), Inst. Mittag-Leffler, Djursholm, 1963, 247–259 | MR | Zbl