局部场上的电激面布劳尔群

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2019-02-01 DOI:10.14492/HOKMJ/1550480647

Takashi Hirotsu

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引用次数: 0

摘要

场上的曲面是典型的几何有理曲面。自20世纪70年代以来，它的Chow零环群作为一个重要的双族不变量被许多研究者研究。最近，S. Saito和K. Sato从Brauer - manin配对中获得了Chow和Brauer组之间的对偶性。对于局部场上的ch telet曲面，我们将他们的结果与已知的Chow群的计算相结合，确定了基场整数环上表面的正则固有平面模型的Brauer群的结构和产生器。

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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Brauer groups of Châtelet surfaces over local fields

A Châtelet surface over a field is a typical geometrically rational surface. Its Chow group of zero-cycles has been studied as an important birational invariant by many researchers since the 1970s. Recently, S. Saito and K. Sato obtained a duality between the Chow and Brauer groups from the Brauer–Manin pairing. For a Châtelet surface over a local field, we combine their result with the known calculation of the Chow group to determine the structure and generators of the Brauer group of a regular proper flat model of the surface over the integer ring of the base field.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.