SEMI-INTEGRAL BRAUER-MANIN OBSTRUCTION AND QUADRIC ORBIFOLD PAIRS

被引：0

作者：

Mitankin, Vladimir ^{[1
,2
]}

Nakahara, Masahiro ^{[3
]}

Streeter, Sam ^{[4
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Akad Georgi Bonchev 8, Sofia 1113, Bulgaria

[2] Leibniz Univ Hannover, Inst Algebra Zahlentheorie & Diskrete Math, Welfengarten 1, D-30167 Hannover, Germany

[3] Univ Washington, Dept Math, Seattle, WA 98195 USA

[4] Univ Bristol, Sch Math, Woodland Rd, Bristol BS1 8UG, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 06期

关键词：

STRONG APPROXIMATION; HASSE PRINCIPLE; CLASSIFICATION; SURFACES;

D O I：

10.1090/tran/9170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study local -global principles for two notions of semi -integral points, termed Campana points and Darmon points. In particular, we develop a semi -integral version of the Brauer-Manin obstruction interpolating between Manin's classical version for rational points and the integral version developed by Colliot-The<acute accent>le`ne and Xu. We determine the status of local -global principles, and obstructions to them, in two families of orbifolds naturally associated to quadric hypersurfaces. Further, we establish a quantitative result measuring the failure of the semi -integral Brauer-Manin obstruction to account for its integral counterpart for affine quadrics.

引用

页码：4435 / 4480

页数：46

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