18 citations · 47 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Maximal tori of monodromy groups of -isocrystals and an application to abelian varieties
Emiliano Ambrosi, Marco D'Addezio
Let be a smooth geometrically connected variety defined over a finite field and let be an irreducible overconvergent -isocrystal on…
On the semi-simplicity conjecture for
Marco D'Addezio
We show that the semi-simplicity conjecture for finitely generated fields follows from the conjunction of the semi-simplicity conjecture for finite fields and for the maximal abeli…
The monodromy groups of lisse sheaves and overconvergent -isocrystals
Marco D'Addezio
It has been proven by Serre, Larsen-Pink and Chin, that over a smooth curve over a finite field, the monodromy groups of compatible semi-simple pure lisse sheaves have "the same" $…