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The Jacobian and formal group of a curve of genus 2 over an arbitrary ground field

Published online by Cambridge University Press:  24 October 2008

Eugene Victor Flynn
Eugene Victor Flynn
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, U.S.A.
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Abstract

An embedding of the Jacobian variety of a curve of genus 2 is given, together with an explicit set of defining equations. A pair of local parameters is chosen, for which the induced formal group is defined over the same ring as the coefficients of . It is not assumed that has a rational Weierstrass point, and the theory presented applies over an arbitrary ground field (of characteristic ╪ 2, 3, or 5).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 3 , May 1990 , pp. 425 - 441
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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