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Conjectures uniformes sur les variétés abéliennes

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Publication:4684211
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DOI10.1093/qmath/hax042zbMath1446.11113OpenAlexW2766178884WikidataQ122970029 ScholiaQ122970029MaRDI QIDQ4684211

Gaël Rémond

Publication date: 27 September 2018

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/hax042


zbMATH Keywords

Coleman's conjectureabelian varitiesuniform isogeny conjecture


Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)


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Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité ⋮ Unnamed Item ⋮ Torsion points on isogenous abelian varieties ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Explicit homotheties of \(\ell\)-adic representations ⋮ Décompte de polarisations de degré donné ⋮ On the local-global principle for isogenies of abelian surfaces ⋮ Logarithmes des points rationnels des variétés abéliennes ⋮ Unlikely intersections between isogeny orbits and curves ⋮ On uniformity conjectures for abelian varieties and K3 surfaces



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