Genus one half stacky curves violating the local-global principle
Han Wu1 ; Chang Lv2
1 Laboratory of Applied Mathematics Faculty of Mathematics and Statistics, Hubei University No. 368, Friendship Avenue Wuchang District, Wuhan, Hubei, 430062, P.R. China
2 State Key Laboratory of Cyberspace Security Defense Institute of Information Engineering Chinese Academy of Sciences Beijing 100093, P.R. China
Journal de théorie des nombres de Bordeaux, Tome 36 (2024) no. 3, pp. 835-841.

For any number field, we prove that there exists a stacky curve of genus 1/2 defined over the ring of its integers violating the local-global principle for integral points.

Pour un corps de nombres quelconque, nous prouvons qu’il existe un champs algébrique de Deligne–Mumford propre, lisse, géométriquement connexe de dimension 1 et de genre 1/2, défini sur l’anneau des entiers du corps et violant le principe local-global pour les points entiers.

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DOI : 10.5802/jtnb.1297
Classification : 11G30, 14A20, 14G25, 14H25
Mots-clés : stacky curves, local points, integral points, local-global principle for integral points

Han Wu 1 ; Chang Lv 2

1 Laboratory of Applied Mathematics Faculty of Mathematics and Statistics, Hubei University No. 368, Friendship Avenue Wuchang District, Wuhan, Hubei, 430062, P.R. China
2 State Key Laboratory of Cyberspace Security Defense Institute of Information Engineering Chinese Academy of Sciences Beijing 100093, P.R. China
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Han Wu; Chang Lv. Genus one half stacky curves violating the local-global principle. Journal de théorie des nombres de Bordeaux, Tome 36 (2024) no. 3, pp. 835-841. doi : 10.5802/jtnb.1297. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1297/

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