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SUMMARY:On the Arakelov theory of arithmetic surfaces (3/4)
DTSTART;VALUE=DATE-TIME:20170315T093000Z
DTEND;VALUE=DATE-TIME:20170315T113000Z
DTSTAMP;VALUE=DATE-TIME:20200813T033346Z
UID:indico-event-1863@indico.math.cnrs.fr
DESCRIPTION: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 th
e full abc conjecture (a proof of which has been announced by Mochizuki)
.\n\nhttps://indico.math.cnrs.fr/event/1863/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/1863/
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