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math.AG2022
The Hilbert symbol in the Hodge standard conjecture
Giuseppe Ancona, Adriano Marmora
We study the Hodge standard conjecture for varieties over finite fields admitting a CM lifting, such as abelian varieties or products of K3 surfaces. For those varieties we show th…
math.NT2022
Algebraic classes in mixed characteristic and André's p-adic periods
Giuseppe Ancona, Dragos Fratila
Motivated by the study of algebraic classes in mixed characteristic we define a countable subalgebra of which we call the algebra of André's -adic periods.…