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arXiv · 2411.17579

Monomial algebraic and algebroid curves and their Lipschitz saturation over the ground ring

Anne Frühbis-Krüger·Thiago da Silva
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Abstract

In this article, we provide an explicit description of the Lipschitz saturation $A^*_{B,R}$ of a subalgebra $A\subseteq R[[t^{\gamma_1},\ldots, t^{\gamma_n}]]$ over a ring $R$ in terms of the numerical semigroup $\Gamma = \langle\gamma_{1},\ldots,\gamma_{n}\rangle$ with mild conditions imposed on $R$.

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Anne Frühbis-Krüger, Thiago da Silva. 2024-11-26. Monomial algebraic and algebroid curves and their Lipschitz saturation over the ground ring. https://arxiv.org/abs/2411.17579

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