Mixed \L ojasiewicz exponents, log canonical thresholds of ideals and bi-Lipschitz equivalence
Algebraic Geometry
2014-05-12 v1 Commutative Algebra
Complex Variables
Abstract
We study the \L ojasiewicz exponent and the log canonical threshold of ideals of when restricted to generic subspaces of of different dimensions. We obtain effective formulas of the resulting numbers for ideals with monomial integral closure. An inequality relating these numbers is also proven. We also introduce the notion of bi-Lipschitz equivalence of ideals and we prove the bi-Lipschitz invariance of \L ojasiewicz exponents and log canonical thresholds of ideals.
Keywords
Cite
@article{arxiv.1405.2110,
title = {Mixed \L ojasiewicz exponents, log canonical thresholds of ideals and bi-Lipschitz equivalence},
author = {Carles Bivià-Ausina and Toshizumi Fukui},
journal= {arXiv preprint arXiv:1405.2110},
year = {2014}
}