Can I read An Effective \L ojasiewicz Inequality for Real Polynomials on EtoBox?

An Effective \L ojasiewicz Inequality for Real Polynomials by Kollár, János is a scholarly article available to read on EtoBox.

What is An Effective \L ojasiewicz Inequality for Real Polynomials about?

Let H be the supremum of finitely many real polynomials of degree d and assume that H has a strict local minimum at 0. We prove a \L ojasiewicz-type inequality $H(x_1,...,x_n) > ||(x_1,...,x_n)||^s$ where s depends only on d and n. This implies a similar inequality where $(x_1,...,x_n)$ runs through the points of a semi-algebraic set.

Author

Kollár, János

Published

1999

Language

EN