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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
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/
@article{IM2_2016_80_5_a6,
     author = {J. Tate},
     title = {An old letter from {J.~Tate} to {B.~Dwork,} as~viewed recently by {J.~Tate} and {B.~Mazur}},
     journal = {Izvestiya. Mathematics},
     pages = {954--957},
     year = {2016},
     volume = {80},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2016_80_5_a6/}
}
TY  - JOUR
AU  - J. Tate
TI  - An old letter from J. Tate to B. Dwork, as viewed recently by J. Tate and B. Mazur
JO  - Izvestiya. Mathematics
PY  - 2016
SP  - 954
EP  - 957
VL  - 80
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/IM2_2016_80_5_a6/
LA  - en
ID  - IM2_2016_80_5_a6
ER  - 
%0 Journal Article
%A J. Tate
%T An old letter from J. Tate to B. Dwork, as viewed recently by J. Tate and B. Mazur
%J Izvestiya. Mathematics
%D 2016
%P 954-957
%V 80
%N 5
%U http://geodesic.mathdoc.fr/item/IM2_2016_80_5_a6/
%G en
%F 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