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 (i)<br />
Mod pqp D has a natural probability measure.<br />
1 (D, 〈 , 〉, F , V ) s.t., FV = VF = p <strong>and</strong> 〈F (−) , −〉 = σ〈− , V (−)〉.<br />
⎡ ⎤ ⎡ ⎤<br />
2 D = Z 2g ⎢<br />
q , 〈 , 〉 = ⎣ 0 I<br />
−I 0<br />
⎥<br />
⎦, F 0 =<br />
⎢<br />
⎣ pI 0<br />
0 I<br />
⎥<br />
⎦, V 0 = pF −1 .<br />
<strong>David</strong> <strong>Zureick</strong>-<strong>Brown</strong> (Emory University) R<strong>and</strong>om Dieudonné Modules November 13, 2012 20 / 29
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