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math.AG2014★ 7 cited
The Noether-Lefschetz conjecture and generalizations
Nicolas Bergeron, Zhiyuan Li, John Millson +1
We prove the Noether-Lefschetz conjecture on the moduli space of quasi-polarized K3 surfaces. This is deduced as a particular case of a general theorem that states that low degree…
math.AG2013★ 5 cited
The Hodge conjecture and arithmetic quotients of complex balls
Nicolas Bergeron, John Millson, Colette Moeglin
Let be a closed Shimura variety uniformized by the complex -ball. The Hodge conjecture predicts that every Hodge class in $H^{2k} (S, \Q)$, , is algebraic. W…