Bernstein–Kushnirenko theorem
id:
bernstein-kushnirenko-theorem-250-6971150
title:
Bernstein–Kushnirenko theorem
text:
The Bernstein–Kushnirenko theorem, proven by David Bernstein and Anatoliy Kushnirenko in 1975, is a theorem in algebra. It states that the number of non-zero complex solutions of a system of Laurent polynomial equations f 1 = ⋯ = f n = 0 is equal to the mixed volume of the Newton polytopes of the polynomials f 1 , … , f n , assuming that all non-zero coefficients of f n are generic. A more precise statement is as follows:
brand slug:
wiki
category slug:
encyclopedia
description:
On the number of common zeros of Laurent polynomials
original url:
https://en.wikipedia.org/wiki/Bernstein%E2%80%93Kushnirenko_theorem
date created:
date modified:
2023-04-30T14:03:21Z
main entity:
{"identifier":"Q19596039","url":"https://www.wikidata.org/entity/Q19596039"}
image:
fields total:
13
integrity:
14