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David Zureick-Brown - Rational points and algebraic cycles

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a-number data<br />

Does<br />

P(a(Jac C (F p )) = 0) =<br />

Data<br />

- C hyperelliptic, p ≠ 2 – not quite.<br />

=<br />

∞∏ (<br />

1 + p<br />

−i ) −1<br />

i=1<br />

∞∏ (<br />

1 − p<br />

−2i+1 ) <br />

i=1<br />

<strong>David</strong> <strong>Zureick</strong>-<strong>Brown</strong> (Emory University) R<strong>and</strong>om Dieudonné Modules November 13, 2012 27 / 29

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