Geodesic
Vector bundles and finite covers
Forum of Mathematics, Sigma, Tome 10 (2022)

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Motivated by the problem of finding algebraic constructions of finite coverings in commutative algebra, the Steinitz realization problem in number theory and the study of Hurwitz spaces in algebraic geometry, we investigate the vector bundles underlying the structure sheaf of a finite flat branched covering. We prove that, up to a twist, every vector bundle on a smooth projective curve arises from the direct image of the structure sheaf of a smooth, connected branched cover. 
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     author = {Anand Deopurkar and Anand Patel},
     title = {Vector bundles and finite covers},
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Anand Deopurkar; Anand Patel. Vector bundles and finite covers. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.19

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