THE NUMBER OF ROOTS OF A POLYNOMIAL SYSTEM
NGUYEN CONG MINH, Thang Luu Ba, Trân Nam Trung · Bulletin of the Australian Mathematical Society · 2020
Abstract Let I be a zero-dimensional ideal in the polynomial ring $K[x_1,\ldots ,x_n]$ over a field K. We give a bound for the number of roots of I in $K^n$ counted with combinatorial multiplicity. As a consequence, we give a proof of Alon’s combinatorial Nullstellensatz.