用阿贝尔算子分割未分枝Brauer类及周期指数问题。

IF 1.3 2区数学 Q1 MATHEMATICS

Mathematische Annalen Pub Date : 2025-01-01 Epub Date: 2025-04-26 DOI:10.1007/s00208-025-03161-2

Daniel Huybrechts, Dominique Mattei

引用次数: 0

摘要

对于一个独立于Brauer类的固定阿贝尔格式，我们利用扭曲相对Picard变体在代数闭域上的投影变体上，通过环量来分裂Brauer类。该构造还用于证明未分枝的Brauer类的指数除以其周期的固定幂。

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Splitting unramified Brauer classes by abelian torsors and the period-index problem.

We use twisted relative Picard varieties to split Brauer classes on projective varieties over algebraically closed fields by torsors for a fixed abelian scheme independent of the Brauer class. The construction is also used to prove that the index of an unramified Brauer class divides a fixed power of its period.

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来源期刊

Mathematische Annalen 数学-数学

CiteScore

2.90

自引率

7.10%

发文量

181

审稿时长

4-8 weeks

期刊介绍： Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.