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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.AG2011★ 10 cited
Product formula for p-adic epsilon factors
Tomoyuki Abe, Adriano Marmora
Let X be a smooth proper curve over a finite field of characteristic p. We prove a product formula for p-adic epsilon factors of arithmetic D-modules on X. In particular we deduce…