Small zeros of quadratic forms outside of a union of varieties

Wai Kiu Chan, Lenny Fukshansky, Glenn Henshaw

Let $F$ be a quadratic form in $N\ge 2$ variables defined on a vector space $V\subseteq K^N$ over a global field $K$, and $\mathbb{Z}\subseteq K^N$ be a finite union of varieties defin…