Primes of bad reduction for systems of polynomial equations

Jesse Elliott, Éric Schost

Consider polynomials $F_1,\dots ,F_s$ in $\K[X_1,\dots,X_n]$ over a field $\K$, their zero-set $V(F_1,\dots ,F_n)$ in $\Kbar^n$ and its decomposition into equidimensional components…