Brauer–Manin obstruction for zero-cycles on certain varieties
Evis Ieronymou1
1 Department of Mathematics and Statistics University of Cyprus P.O. Box 20537 1678, Nicosia, Cyprus
Journal de théorie des nombres de Bordeaux, Volume 35 (2023) no. 1, pp. 151-166.

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 various examples of Brauer–Manin obstruction to the existence of zero-cycles of appropriate degrees.

Pour certaines variétés, nous étudions la question de savoir si l’existence d’une famille de zéro-cycles locaux de degré d orthogonaux au groupe de Brauer implique la non-vacuité de l’ensemble de Brauer–Manin. Nous fournissons divers exemples d’obstructions de Brauer–Manin à l’existence de zéro-cycles de degrés appropriés.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/jtnb.1241
Classification: 11G25, 11G35, 14F22, 14J28
Keywords: Brauer–Manin obstruction, zero-cycles
Evis Ieronymou 1

1 Department of Mathematics and Statistics University of Cyprus P.O. Box 20537 1678, Nicosia, Cyprus
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Evis Ieronymou. Brauer–Manin obstruction for zero-cycles on certain varieties. Journal de théorie des nombres de Bordeaux, Volume 35 (2023) no. 1, pp. 151-166. doi : 10.5802/jtnb.1241. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1241/

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