Let X be the locus of common zeros of polynomials f1,. , fk in n complex variables. A global upper bound for the distance to X is given in the form of a Lojasiewicz inequality. The exponent in this inequality is bounded by dmin(n, k) where d = max(3, deg fi). The estimates are also valid over an algebraically closed field of any characteristic.
All Science Journal Classification (ASJC) codes
- Applied Mathematics