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THE NUMBER OF ROOTS OF A POLYNOMIAL SYSTEM
Bulletin of the Australian Mathematical Society ( IF 0.7 ) Pub Date : 2020-11-09 , DOI: 10.1017/s0004972720001197 NGUYEN CONG MINH , LUU BA THANG , TRAN NAM TRUNG
Bulletin of the Australian Mathematical Society ( IF 0.7 ) Pub Date : 2020-11-09 , DOI: 10.1017/s0004972720001197 NGUYEN CONG MINH , LUU BA THANG , TRAN NAM TRUNG
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.
中文翻译:
多项式系统的根数
让一世 是多项式环中的零维理想$K[x_1,\ldots ,x_n]$ 在一个领域ķ . 我们给出了根数的界限一世 在$K^n$ 用组合多重性计算。因此,我们给出了 Alon 的组合 Nullstellensatz 的证明。
更新日期:2020-11-09
中文翻译:
多项式系统的根数
让