This page contains scanned copies of the lecture notes of the
seminar run by J. Lubin, J.-P. Serre and J. Tate, which is part of
the "Lecture notes prepared in connection with the seminars held at
the Summer Institute on Algebraic Geometry, Whitney Estate, Woods
Hole, Massachusetts, July 6-July 31, 1964".
Errata and complements:
- On page 1, line -3, Endk(F*)
should be EndK(F*).
- The current usage is "lifting" rather than "raising".
- The question on page 3 about the image of Galois is answered
(affirmatively) in Serre,
Sur les groupes de Galois attachés aux groupes
p-divisibles. Proc. Conf. Local Fields (Driebergen, 1966)
pp. 118--131 Springer, Berlin, 1967.
- Other proofs of the equivalence of the categories C1
and C2 (page 5) can be found in Messing,
The crystals associated to Barsotti-Tate groups: with applications to
abelian schemes. Lecture Notes in Mathematics, Vol. 264.
Springer-Verlag, Berlin-New York, 1972 and in
Drinfeld, Coverings of p-adic symmetric
domains. (Russian) Funkcional. Anal. i Prilozen. 10 (1976), no. 2,
- On page 7, line -14, "there are those" should be "these are those".
- On page 7, line -2, "degree between" should be "degree p between"
Page 1 (approx. 70K).
Page 2 (approx. 70K).
Page 3 (approx. 70K).
Page 4 (approx. 70K).
Page 5 (approx. 70K).
Page 6 (approx. 70K).
Page 7 (approx. 70K).
Page 8 (approx. 40K).
Robert Harley has retyped the
paper in TeX. Here it is in
ps or pdf formats.
This page is maintained by
Please send him any suggestions.
The images were scanned and prepared by
Jane Ross, who also provided technical advice.
Besides making this useful paper widely available, this Web site is also an
experiment in making documents of this sort available on the web.
For a much more ambitious project visit the
Cornell Digital Library Math Collection.
This page has been around
since May, 11th, 1997.