Abstract
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.
Original language | English (US) |
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Pages (from-to) | 813-818 |
Number of pages | 6 |
Journal | Transactions of the American Mathematical Society |
Volume | 329 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1992 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics