The tamely ramified geometric quantitative minimal ramification problem

IF 1.3 1区数学 Q1 MATHEMATICS Compositio Mathematica Pub Date : 2023-11-09 DOI:10.1112/s0010437x23007510

Mark Shusterman

引用次数: 0

Abstract

We prove a large finite field version of the Boston–Markin conjecture on counting Galois extensions of the rational function field with a given Galois group and the smallest possible number of ramified primes. Our proof involves a study of structure groups of (direct products of) racks.

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分形几何定量最小分形问题

在给定伽罗瓦群和最小可能分支素数的情况下，我们证明了对有理函数域的伽罗瓦扩展进行计数的大有限域版的Boston-Markin猜想。我们的证明涉及到机架(直接产品)结构群的研究。

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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来源期刊

Compositio Mathematica 数学-数学

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and global analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content.

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