3 papers
math.NT2005
A conjecture on rational approximations to rational points
David McKinnon
In this paper, we examine how well a rational point P on an algebraic variety X can be approximated by other rational points. We conjecture that if P lies on a rational curve, then…
math.AG2002
Counting Rational Points on Ruled Varieties
David McKinnon
In this paper, we prove a general result computing the number of rational points of bounded height on a projective variety which is covered by lines. The main technical result…
math.AG1999
Counting Rational Points on K3 Surfaces
David McKinnon
For any algebraic variety defined over a number field , and ample height function on , one can define the counting function $N_V(B) = #{P\in V(k) \mid H(P)\leq B}$. I…