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The BKK root count in $\mathbf {C}^n$

The BKK root count in $\mathbf {C}^n$

The root count developed by Bernshtein, Kushnirenko and Khovanskii only counts the number of isolated zeros of a polynomial system in the algebraic torus $(\mathbf {C}^*)^n$. In this paper, we modify this bound slightly so that it counts the number of isolated zeros in $\mathbf {C}^n$. Our bound is, apparently, …