超椭圆曲线的常规模型

IF 0.5 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2024-07-01 DOI:10.1016/j.indag.2023.12.001

Simone Muselli

引用次数: 0

摘要

设 K 是残差特征不为 2 的完整离散值域，OK 是其整数环。我们明确地在 OK 上构造了一个具有严格法交叉的任何超椭圆曲线 C/K:y2=f(x) 的正则模型。为此，我们引入了新的麦克莱恩簇图象概念，旨在成为簇与麦克莱恩估值之间的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Regular models of hyperelliptic curves

Let $K$ be a complete discretely valued field of residue characteristic not 2 and $O_{K}$ its ring of integers. We explicitly construct a regular model over $O_{K}$ with strict normal crossings of any hyperelliptic curve $C / K : y^{2} = f (x)$ . For this purpose, we introduce the new notion of MacLane cluster picture, that aims to be a link between clusters and MacLane valuations.

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来源期刊

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.