[share_ebook] Lectures on p-Divisible Groups (Lecture Notes in Mathematics)

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The aim of these lectures, given at the Tata Institute in January -February 197', was to explain the contents of chapters 1, 2 and 4 of MANIN (I), The theory of commutative formal groups over fields of finite characteristic, English Trans,, Russian Math. Sur. 18. For general facts about algebraic groups, our reference is DEMAZUBB (M) and GABRIEL (P), Groupes algebriques, Ton 1, North Holland Pub. Co., 1970, which shall be abbreviated as D.G. For supplementary material the reader may refer toi HONDA (T), Isogeny classes of abelian varieties over finite fields, J. Math. Soc. Jap., 20, 83-95, (1968). HONDA (T), On the theory of commutative formal groups, J. Math. Soc. Jap., 22 213-246, (1970). TATE (J), p-divisible groups ; Proceedings of a conference on local fields, (Driebergen 1966) Springer-Verlag, 1967. TATE (J), Classes d'isogenies de varietes abeliennes sur un corps fini(d'apres T. HONDA), Seminaire Bourbaki, 352, Nov. 1968, Paris multigraphe. TATE (J), Endomorphisms of abelian varieties over finite fields, Inventiones Math., 2 134-144 (1966) N.B. The typing of these notes was done by Mr.P.Joseph, of the Tata Institute. He did a very good job. Notational Conventions. If C is a category, and A an object of C, w write simply AECj if A, BeC, the set of morphisms in C of A to B is denoted by C(A,B). By a ring we always mean, if not otherwise stated, a commutative ring with unit, M. Demazure Please appreciate my work to rock these links: