There are only finitely many isomorphism classes of essentially finite vector bundles of any given rank n on a pointed geometrically connected smooth projective variety over a sub-p-adic field.
Moduli ofG-bundles under nonconnected group schemes and nondensity of essentially finite bundles
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A finiteness result on representations of Nori's fundamental group scheme
There are only finitely many isomorphism classes of essentially finite vector bundles of any given rank n on a pointed geometrically connected smooth projective variety over a sub-p-adic field.