David Zureick-Brown - Rational points and algebraic cycles
David Zureick-Brown - Rational points and algebraic cycles
David Zureick-Brown - Rational points and algebraic cycles
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Proofs<br />
Part (iv)<br />
1 st moment is 2: Avg (#G(F p )[p]) = 2<br />
1 First fix the p-corank.<br />
1 Associated p-divisible group decomposes as<br />
G = G m × G et × G ll .<br />
2 Fixing the p-corank fixes the dimension of G ll<br />
2 (Show that G r<strong>and</strong>om ⇒ G et r<strong>and</strong>om.)<br />
<strong>David</strong> <strong>Zureick</strong>-<strong>Brown</strong> (Emory University) R<strong>and</strong>om Dieudonné Modules November 13, 2012 23 / 29
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