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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Progress<br />
Davenport-Heilbronn – Avg Cl(−D)[3] = 2<br />
Bhargava – Avg Cl(K)[2] = 3 (K cubic)<br />
Bhargava – counts quartic dihedral extensions<br />
Kohnen-Ono – N p ∤h (X ) ≫ x 2<br />
1<br />
log x<br />
Heath-<strong>Brown</strong> – N p|h (X ) ≫ x 10<br />
9<br />
log x<br />
Byeon – N Clp ∼ =(Z/gZ)<br />
2(X ) ≫ x 1 g<br />
log x<br />
<strong>David</strong> <strong>Zureick</strong>-<strong>Brown</strong> (Emory University) R<strong>and</strong>om Dieudonné Modules November 13, 2012 8 / 29