On Primes of Degree One in Function Fields

Greg W. Anderson, Robert Indik
1985 Proceedings of the American Mathematical Society  
We show that over the algebraic closure of a finite field, every point of the jacobian of a curve annihilated by a power of a prime / is the /-primary component of a point in the image of the curve.
doi:10.2307/2044945 fatcat:nngufma63jbk3a55l2uiysevtu