Abstract
By a result of Biswas and Dos Santos on a smooth and projective variety over an algebraically closed field, a vector bundle trivialized by a proper and surjective map is essentially finite; that is, it corresponds to a representation of the Nori fundamental group scheme. In this paper we obtain similar results for nonproper nonsmooth algebraic stacks over arbitrary fields of characteristic p > 0 p>0 . As a byproduct we have the following partial generalization of the BiswasâDos Santos result in positive characteristic: on a pseudo-proper and inflexible stack of finite type over k , k, a vector bundle which is trivialized by a proper and flat map is essentially finite.
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