The Łojasiewicz exponent at infinity of non-negative and non-degenerate polynomials

DOI10.1007/s00574-018-0078-8zbMath1405.14134OpenAlexW2793181643MaRDI QIDQ1757101

Grzegorz Oleksik, Adam Różycki

Publication date: 2 January 2019

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-018-0078-8

zbMATH Keywords

Newton polyhedronŁojasiewicz exponentreal polynomialKushnirenko nondegeneracy

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10)

Cites Work

• A global smooth version of the classical Łojasiewicz inequality
• Global Łojasiewicz-type inequality for non-degenerate polynomial maps
• On the division of distributions by polynomials
• ŁOJASIEWICZ INEQUALITY ON NON-COMPACT DOMAINS AND SINGULARITIES AT INFINITY
• Computation of the Łojasiewicz exponent of nonnegative and nondegenerate analytic functions
• Sharp Effective Nullstellensatz
• ŁOJASIEWICZ INEQUALITY FOR POLYNOMIAL FUNCTIONS ON NON-COMPACT DOMAINS
• Sur le problème de la division
• Łojasiewicz inequality at infinity for polynomials in two real variables
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