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arXiv · 1705.02230

The {\L}ojasiewicz Exponent via The Valuative Hamburger-Noether Process

Szymon Brzostowski·Tomasz Rodak
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Abstract

Let $k$ be an algebraically closed field of any characteristic. We apply the Hamburger-Noether process of successive quadratic transformations to show the equivalence of two definitions of the {\L}ojasiewicz exponent $\mathfrak{L}(\mathfrak{a})$ of an ideal $\mathfrak{a}\subset k[[x,y]]$.

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Szymon Brzostowski, Tomasz Rodak. 2017-05-05. The {\L}ojasiewicz Exponent via The Valuative Hamburger-Noether Process. https://arxiv.org/abs/1705.02230

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