Density of rational points on cyclic covers of $\mathbb{P}^n$

Munshi, Ritabrata

doi:10.5802/jtnb.674

Density of rational points on cyclic covers of

ℙ^{n}

Munshi, Ritabrata ¹

¹ Rutgers University 110, Frelinghuysen Road Piscataway NJ 08854, USA

Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 335-341.

Résumé
Abstract

Nous obtenons une majoration de la densité des points rationnels sur les revêtements cycliques de $ℙ^{n}$ . Quand $n \to \infty$ notre estimation tend vers la majoration conjecturale de Serre.

We obtain upper bound for the density of rational points on the cyclic covers of $ℙ^{n}$ . As $n \to \infty$ our estimate tends to the conjectural bound of Serre.

MR Zbl

DOI : 10.5802/jtnb.674

Affiliations des auteurs :

Munshi, Ritabrata ¹

¹ Rutgers University 110, Frelinghuysen Road Piscataway NJ 08854, USA

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Munshi, Ritabrata. Density of rational points on cyclic covers of $\mathbb{P}^n$. Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 335-341. doi : 10.5802/jtnb.674. http://www.numdam.org/articles/10.5802/jtnb.674/

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