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arXiv · 1904.03687

Le groupe de Selmer des isog\'enies de hauteur un

Damian Rössler
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Abstract

On montre que le groupe de Selmer d'une isog\'enie de hauteur un entre deux vari\'et\'es ab\'eliennes d\'efinies sur le corps de fonctions d'une vari\'et\'e quasi-projective et lisse $V$ sur un corps parfait $k_0$ de caract\'eristique $p>0$ peut \^etre plong\'e dans le groupe des homomorphismes entre deux fibr\'es vectoriels naturels sur $V$. / We show that the Selmer group of an isogeny of height one between two abelian varieties defined on the function field of a smooth and quasi-projective variety $V$ over a perfect field $k_0$ of characteristic $p>0$ can be embedded in the group of homomorphisms between two natural vector bundles on $V$.

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Damian Rössler. 2019-04-07. Le groupe de Selmer des isog\'enies de hauteur un. https://arxiv.org/abs/1904.03687

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