Curves of genus 2 with real multiplication by a square root of 5
Our aim in this work is to produce equations for curves of genus 2 whose Jacobians have real multiplication (RM) by $\mathbb{Q}(\sqrt{5})$, and to examine the conjecture that any abelian surface with RM by $\mathbb{Q}(\sqrt{5})$ is isogenous to a simple factor of the Jacobian of a modular curve $X_0...
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| Format: | Thesis |
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University of Oxford;Mathematical Institute
1998
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