The number of roots of a polynomial system

Authors

  • N. C. Minh
  • L. B. Thang
  • T. N. Trung Instutute of Mathematics, VAST

Abstract

Let \(I\) be a zero-dimensional ideal in the polynomial ring \(K[x_1, \ldots , x_n]\) over a field \(K\). In this paper we give a bound for the number of roots of \(I\) in \(K^n\) counted with combinatorial multiplicity. As consequence we give a proof of the Alon’s combinatorial nullstellensatz.

http://dx.doi.org/10.1017/S0004972712000330

Published

2021-05-25

Issue

Section

Articles