The modular variety of nonsingular and complete hyperelliptic curves with level-two structure of genus 3 is a 5-dimensional quasi-projective variety which admits several standard compactifications.

Abstract We give a method for the computation of integral points on a hyperelliptic curve of odd degree over the rationals whose genus equals the Mordell-Weil rank of its Jacobian. Our approach ...

Abu Dhabi-UAE: – Elliptic curves are widely used in cryptographic algorithms for key exchange and blockchain applications. In addition, there is growing interest in moving to more efficient options, ...