18 citations · 47 across the 12 of their papers we have counts for
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math.AG2020★ 9 cited
Parabolicity conjecture of -isocrystals
Marco D'Addezio
In this article we prove Crew's parabolicity conjecture of -isocrystals. For this purpose, we introduce and study the notion of -hull of a sub--isocrystal. On the wa…
math.AG2020★ 8 cited
On the universal extensions in Tannakian categories
Marco D'Addezio, Hélène Esnault
We use the notion of universal extension in a linear abelian category to study extensions of variations of mixed Hodge structure and convergent and overconvergent isocrystals. The…
math.NT2020
Some remarks on the companions conjecture for normal varieties
Marco D'Addezio
Drinfeld in 2010 proved the companions conjecture for smooth varieties over a finite field, generalizing L. Lafforgue's result for smooth curves. We study the obstruction to prove…