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arXiv · 1201.4589

Un critère d'épointage des sections $l$-adiques

Niels Borne·Michel Emsalem
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Abstract

The cuspidalization conjecture emerged as an approach of Grothendieck's famous section conjecture. We address a weak form of it by using a mild generalization of a theorem of Uwe Jannsen which describes exactly when the $l$-adic homology of an open curve is a pure Galois representation. We also give some concrete examples of modular curves for which the cuspidalization is possible at the $l$-adic level.

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Niels Borne, Michel Emsalem. 2013-01-21. Un critère d'épointage des sections $l$-adiques. https://arxiv.org/abs/1201.4589

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