Serre Lie algebras of generalized Jacobians

G. V. Belyi, V. A. Korolevich

Mathematics Institute, Academy of Sciences of the Ukrainian SSR

Abstract: In this work we construct an example of a generalized Jacobian of an elliptic curve defined over a field of algebraic numbers $k$ such that the Serre Lie algebra $p$-adic representation of the Galois group of the algebraic closure of the field $k$ in its Tate module is irreducible.

UDC: 513.6

Received: 10.07.1975

 English version: Mathematical Notes, 1976, 19:4, 347–349

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