Genuine and strongly genuine polynomials: With an application to the persistence of Galois groups under specialization

Dante Bonolis, Lillian B. Pierce, Katharine Woo

We develop the theory of strongly $n$-genuine polynomials $F(Y,X_1,\dots ,X_n)$, which have the property that the number of specializations $F(Y,X_1,{\mathbf{x}}^{\prime })$ with $\mathbf{x}'…