The log canonical threshold of products of ideals and mixed Łojasiewicz exponents

Given two ideals $I$ and $J$ of the ring $\mathcal {O}_n$ of analytic function germs $f:(\mathbb {C}^n,0)\to \mathbb {C}$, we give a sharp lower bound for the log canonical threshold of $IJ$ in terms of the sequences of mixed Łojasiewicz exponents of the

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Publication Details

Journal
Annales Polonici Mathematici
Published
2025-01-01
DOI
https://doi.org/10.4064/ap240921-17-2
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

The log canonical threshold of products of ideals and mixed Łojasiewicz exponents

Carles Bivià-Ausina
Annales Polonici Mathematici
Fuzzy Systems and Optimization
article

The log canonical threshold of products of ideals and mixed Łojasiewicz exponents

Carles Bivià-Ausina
article en

Abstract

Given two ideals $I$ and $J$ of the ring $\mathcal {O}_n$ of analytic function germs $f:(\mathbb {C}^n,0)\to \mathbb {C}$, we give a sharp lower bound for the log canonical threshold of $IJ$ in terms of the sequences of mixed Łojasiewicz exponents of the

Annales Polonici Mathematici
Universitat Politècnica de València (ES)
Ministerio de Ciencia, Innovación y Universidades, European Regional Development Fund, Agencia Estatal de Investigación
Openalex Percentile: Top 88%
Fuzzy Systems and Optimization
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