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- W2953078419 abstract "Given a vector bundle $E$ on an irreducible projective variety $X$ we give a necessary and sufficient criterion for $E$ to be a direct image of a line bundle under an etale morphism. The criterion in question is the existence of a Cartan subalgebra bundle of the endomorphism bundle $text{End}(E)$. As a corollary, a criterion is obtained for $E$ to be the direct image of the structure sheaf under an etale morphism. The direct image of a parabolic line bundle under any ramified covering map has a natural parabolic structure. Given a parabolic vector bundle, we give a similar criterion for it to be a direct image of a parabolic line bundle under a ramified covering map." @default.
- W2953078419 created "2019-06-27" @default.
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- W2953078419 date "2016-12-13" @default.
- W2953078419 modified "2023-09-27" @default.
- W2953078419 title "Direct image of parabolic line bundles" @default.
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- W2953078419 hasPublicationYear "2016" @default.
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