Brauer-Manin obstruction for zero-cycles on certain varieties

被引：0

作者：

Ieronymou, Evis ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, POB 20537, CY-1678 Nicosia, Cyprus

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2023年 / 35卷 / 01期

关键词：

DEL PEZZO SURFACES; HASSE PRINCIPLE; WEAK APPROXIMATION; CHOW GROUPS; POINTS; CURVES;

D O I：

10.5802/jtnb.1241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the question of whether the existence of a family of local zero-cycles of degree d orthogonal to the Brauer group implies the non-emptiness of the Brauer-Manin set for certain varieties. We provide var-ious examples of Brauer-Manin obstruction to the existence of zero-cycles of appropriate degrees.

引用

页码：151 / 166

页数：17

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