Bounds for polynomials on algebraic numbers and application to curve topology

Daouda Niang Diatta, Sény Diatta, Fabrice Rouillier +2

Let $P\in \mathbb{Z}[X,Y]$ be a given square-free polynomial of total degree $d$ with integer coefficients of bitsize less than $\tau$, and let $V_{\mathbb{R}} (P) := \{ (x,y) \in…