Vol. 157, No. 2, 1993

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The formal group of the Jacobian of an algebraic curve

Margaret N. Freije

Vol. 157 (1993), No. 2, 241–255
Abstract

In this paper we give an explicit construction of the formal group of the Jacobian of an algebraic curve using a basis for the holomorphic differentials on the curve at a rational non-Weierstrass point. We construct the formal group of the Jacobian of the modular curve X0(l) and using a result of T. Honda, we prove that this formal group is p-integral for all but finitely many p.

Mathematical Subject Classification 2000
Primary: 14L05
Secondary: 11G20, 14H25, 14H40
Milestones
Received: 4 August 1990
Published: 1 February 1993
Authors
Margaret N. Freije