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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Dieudonné Modules<br />
Definition<br />
(i) D = Z q [F , V ]/(FV = VF = p, Fz = z σ F , Vz = z σ−1 V ).<br />
(ii) A Dieudonné module is a D-module which is finite <strong>and</strong> free as a Z q<br />
module.<br />
Jac C<br />
M = H 1 cris (Jac C, Z p )<br />
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{Jac C [p n ]} n<br />
<strong>David</strong> <strong>Zureick</strong>-<strong>Brown</strong> (Emory University) R<strong>and</strong>om Dieudonné Modules November 13, 2012 16 / 29