The Arithmetic of Hyperelliptic Curves E. V. Flynn∗ , Mathematical Institute, University of Oxford Abstract We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in partic

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• Elliptic curve
• Kummer surface
• Algebraic number field
• Hyperelliptic curve
• Hyperelliptic curve cryptography
• Trace Zero Cryptography
• Abstract algebra
• Algebraic geometry
• Algebraic curves