Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669000 | Bulletin des Sciences Mathématiques | 2012 | 10 Pages |
Abstract
Let X be a Brauer–Severi variety over a field k associated with a central simple k-algebra of index two. This variety has the property of being isomorphic to a projective space after base change to a degree two Galois extension L. A locally free sheaf on X is called absolutely split if it splits after base change as a direct sum of invertible sheaves on the projective space.We classify the isomorphism classes of absolutely split locally free sheaves on X.
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