ZJU scholar decodes a famous mathematical conjecture

Dr. YE Hexi, principal investigator in the School of Mathematical Sciences, recently published an article titled as ‘Uniform Manin-Mumford for a family of genus 2 curves ’ on the Annals of Mathematics, a prestigous journal in the field of mathmatics.

Rational and torsion points on algebraic curves are the most concerned objects for the specialists in number theory and algebraic geometry. In 1983, Michel Raynaud proved the well known Manin-Mumford conjecture, which is now called Raynaud’s Theorem: there are only finitely many torsion points on each projective smooth algebraic curve with genus greater than one. In 1986, Barry Mazur proposed a uniform version of the Main-Mumford conjecture —— fixing any integer g greater than one, there exists a uniform upper bound for the number of torsion points on any projective smooth algebraic curve with genus g. In a joint work with DeMarco and Krieger, Dr. YE Hexi proved the uniform version of the Manin-Mumford conjecture in the case of a family of genus two curves.