Regular models of hyperelliptic curves

被引：1

作者：

Muselli, Simone ^{[1
]}

机构：

[1] Univ Bristol, Sch Math, Woodland Rd, Bristol BS8 1UG, England

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2024年 / 35卷 / 04期

关键词：

Hyperelliptic curves; Models of curves; MacLane valuations;

D O I：

10.1016/j.indag.2023.12.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a complete discretely valued field of residue characteristic not 2 and OK its ring of integers. We explicitly construct a regular model over OK with strict normal crossings of any hyperelliptic curve C/K : y2 = 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. (c) 2023 The Author. Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

引用

页码：646 / 697

页数：52

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