Tropical invariants for binary quintics and reduction types of Picard curves

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2023-11-06 DOI:10.1017/s0017089523000344

Paul Alexander Helminck, Yassine El Maazouz, Enis Kaya

引用次数: 1

Abstract

Abstract In this paper, we express the reduction types of Picard curves in terms of tropical invariants associated with binary quintics. We also give a general framework for tropical invariants associated with group actions on arbitrary varieties. The problem of finding tropical invariants for binary forms fits in this general framework by mapping the space of binary forms to symmetrized versions of the Deligne–Mumford compactification $\overline{M}_{0,n}$ .

查看原文本刊更多论文

二元五次方程的热带不变量与皮卡德曲线的约化类型

摘要本文用与二元五项相关的热带不变量来表示皮卡德曲线的约简类型。我们还给出了与任意变异上的群作用相关的热带不变量的一般框架。通过将二进制形式的空间映射到delignee - mumford紧化$\overline{M}_{0,n}$的对称形式，找到二进制形式的热带不变量的问题就符合这个一般框架。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.