An Effective Łojasiewicz Inequality for Real Polynomials

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 Łojasiewicz-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.
LATEX2e, 9 pages

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78421

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9904161
 http://arxiv.org/abs/math/9904161

Collections

arXiv