Article contents
THE NUMBER OF ROOTS OF A POLYNOMIAL SYSTEM
Published online by Cambridge University Press: 09 November 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.
- Type
- Research Article
- Information
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
The third author is partially supported by NAFOSTED (Vietnam), grant number 101.04–2018.307.
References
- 2
- Cited by