Most odd degree hyperelliptic curves have only one rational point
Most odd degree hyperelliptic curves have only one rational point

Bjorn Poonen, MIT
TBD
We prove that the probability that a curve of the form y^2 = f(x) over Q with deg f = 2g+1 has no rational point other than the point at infinity tends to 1 as g tends to infinity. This is joint work with Michael Stoll.