Projective Geometry of Hessian Elliptic Curves and Genus 2 Triple Covers of Cubics

ePrint Report: Projective Geometry of Hessian Elliptic Curves and Genus 2 Triple Covers of Cubics

Rémy Oudompheng

The existence of finite maps from hyperelliptic curves to elliptic curves has been studied for more than a century and their existence has been related to isogenies between a product of elliptic curves and their Jacobian surface.
Such finite covers, sometimes named gluing maps have recently appeared in cryptography in the context of genus 2 isogenies and more spectacularly, in the work of …

elliptic eprint report geometry