Adriano Marmora

collaborators

2 papers

math.NT2026

Exactness property of Breuil-Kisin functors and Bloch-Kato Selmer groups

Pavel Čoupek, Evangelia Gazaki, Adriano Marmora

Let $K$ be a $p$ -adic field and $T$ a lattice in a semistable representation of $Gal (K / K)$ with Hodge-Tate weights in $[0, r]$ . Assuming $0 \leq r < p - 1$ , we prove…

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…