The Mathematical Institute, University of Oxford, Eprints Archive

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

Flynn, E. V. (1990) The jacobian and formal group of a curve of genus 2 over an arbitrary ground field. Mathematical Proceedings of the Cambridge Philosophical Society, 107 . pp. 425-441. ISSN 0305-0041

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Abstract

We present an explicit model of the Jacobian variety, and give a set of quadratic defining equations. We develop constructively the theory of formal groups for genus 2, including an explicit pair of local parameters which induce a formal group law defined over the same ring as the coefficients of the original curve.

Item Type:Article
Uncontrolled Keywords:Jacaboan variety; local parameters; formal group.
Subjects:A - C > Algebraic geometry
H - N > Number theory
Research Groups:Number Theory Group
ID Code:274
Deposited By:E. Victor Flynn
Deposited On:12 Jul 2006
Last Modified:20 Jul 2009 14:19

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