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Lojasiewicz exponent of a surface: an intrinsic view

Published 20 Feb 2020 in math.AG | (2002.08706v4)

Abstract: In this paper we observe that the {\L}ojasiewicz 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 {\L}ojasiewicz exponent to rational singularities of higher multiplicities we make a similar observation for RTP-type singularities.

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