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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
hep-th |
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Date |
Mercredi 1 Mars 2017 |
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Heure |
10:30 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
SoulÉ |
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Prenom de l'orateur |
Christophe |
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Addresse email de l'orateur |
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Institution de l'orateur |
IHES |
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Titre |
On the Arakelov theory of arithmetic surfaces (1/4) |
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Résumé |
Let X be a semi-stable arithmetic surface of genus at least two and $\omega$ the relative dualizing sheaf of X, equipped with the Arakelov metric. Parshin and Moret-Bailly have conjectured an upper bound for the arithmetic self-intersection of $\omega$. They proved that a weak form of the abc conjecture follows from this inequality. We shall discuss a way of making their conjecture more precise in order that it implies the full abc conjecture (a proof of which has been announced by Mochizuki). |
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Numéro de preprint arXiv |
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Commentaires |
Cours de l'IHES |
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Fichiers attachés |
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