Essentially Finite Vector Bundles on Normal Pseudo-proper Algebraic Stacks

2017/02/13 by Tonini, Fabio, Zhang, Lei · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.03751

Abstract

Let X be a normal, connected and projective variety over an algebraically closed field k. It is known that a vector bundle V on X is essentially finite if and only if it is trivialized by a proper surjective morphism f:Y→ X. In this paper we introduce a different approach to this problem which allows to extend the results to normal, connected and strongly pseudo-proper algebraic stack of finite type over an arbitrary field k.

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