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David Zureick-Brown - Rational points and algebraic cycles

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Basic Question over F q (t), l ≠ p<br />

Fix G ∈ G l .<br />

What is<br />

P(Pic 0 (C) l<br />

∼ = G)<br />

(Limit is taken as deg f → ∞, where C : y 2 = f (x).)<br />

<strong>David</strong> <strong>Zureick</strong>-<strong>Brown</strong> (Emory University) R<strong>and</strong>om Dieudonné Modules November 13, 2012 10 / 29

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