Points of bounded height on curves and the dimension growth conjecture over $\mathbb{F}_q[t]$

26 Mar 2020 Vermeulen Floris

In this article we prove several new uniform upper bounds on the number of points of bounded height on varieties over $\mathbb{F}_q[t]$. For projective curves, we prove the analogue of Walsh' result with polynomial dependence on $q$ and the degree $d$ of the curve... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • NUMBER THEORY
  • ALGEBRAIC GEOMETRY