Lojasiewicz exponent of a surface: an intrinsic view

Fuente: arXiv
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Autores principales: Bilgin, Emel, Kaya, Gülay, Tosun, Meral
Formato: Preprint
Publicado: 2020
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author Bilgin, Emel
Kaya, Gülay
Tosun, Meral
author_facet Bilgin, Emel
Kaya, Gülay
Tosun, Meral
contents In this paper we observe that the Łojasiewicz exponent $\mathcal{L}_0(X)$ of an ADE-type singularity $X$ can be computed by means of invariants of certain ideals in the local ring ${\mathcal O}_{X,0}$. After extending the notion of Łojasiewicz exponent to rational singularities of higher multiplicities we make a similar observation for RTP-type singularities.
format Preprint
id arxiv_https___arxiv_org_abs_2002_08706
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Lojasiewicz exponent of a surface: an intrinsic view
Bilgin, Emel
Kaya, Gülay
Tosun, Meral
Algebraic Geometry
14B05, 14J17, 14J70
In this paper we observe that the Łojasiewicz exponent $\mathcal{L}_0(X)$ of an ADE-type singularity $X$ can be computed by means of invariants of certain ideals in the local ring ${\mathcal O}_{X,0}$. After extending the notion of Łojasiewicz exponent to rational singularities of higher multiplicities we make a similar observation for RTP-type singularities.
title Lojasiewicz exponent of a surface: an intrinsic view
topic Algebraic Geometry
14B05, 14J17, 14J70
url https://arxiv.org/abs/2002.08706