论文标题
表面的Lojasiewicz指数:固有的视图
Lojasiewicz exponent of a surface: an intrinsic view
论文作者
论文摘要
在本文中,我们观察到,可以通过本地环$ {\ Mathcal O} $ {\ Mathcal O} _ {x,0} $中的某些理想的方式来计算ADE-Type Singularity $ x $的lojasiewicz指数$ \ MATHCAL {l} _0(x)$。在将lojasiewicz指数的概念扩展到较高多重性的理性概念上,我们对RTP型奇异性做出了类似的观察。
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.