The {\L}ojasiewicz exponent of non-degenerate surface singularities

Autor:	Brzostowski, S., Krasiński, T., Oleksik, G.
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry 32S05 32S25 14B05 14J17
Druh dokumentu:	Working Paper
Popis:	Let $f$ be an isolated singularity at the origin of $\mathbb{C}^n$. One of many invariants that can be associated with $f$ is its {\L}ojasiewicz exponent $\mathcal{L}_0 (f)$, which measures, to some extent, the topology of $f$. We give, for generic surface singularities $f$, an effective formula for $\mathcal{L}_0 (f)$ in terms of the Newton polyhedron of $f$. This is a realization of one of Arnold's postulates. Comment: 16 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.06071 Zobrazit plný text záznamu View this record from Arxiv