THE GROUP OF COVERING AUTOMORPHISMS OF A QUASI-COHERENT SHEAF ON $\bm{P}^1(K)$
2007 ◽
Vol 50
(2)
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pp. 325-341
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AbstractCoGalois groups appear in a natural way in the study of covers. They generalize the well-known group of covering automorphisms associated with universal covering spaces. Recently, it has been proved that each quasi-coherent sheaf over the projective line $\bm{P}^1(R)$ ($R$ is a commutative ring) admits a flat cover and so we have the associated coGalois group of the cover. In general the problem of computing coGalois groups is difficult. We study a wide class of quasi-coherent sheaves whose associated coGalois groups admit a very accurate description in terms of topological properties. This class includes finitely generated and cogenerated sheaves and therefore, in particular, vector bundles.
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2018 ◽
Vol 2018
(735)
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pp. 265-285
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2016 ◽
Vol 2016
(716)
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2014 ◽
Vol 22
(2)
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pp. 51-56
2021 ◽
Vol 78
(1)
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pp. 215-224
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2018 ◽
Vol 2020
(15)
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pp. 4721-4775