Biswas, Indranil ; Parameswaran, A. J. ; Subramanian, S. (2011) Essentially finite vector bundles on varieties with trivial tangent bundle Proceedings of the American Mathematical Society, 139 . pp. 3821-3829. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/2011-139-11/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9939-2011-10804-9
Abstract
Let X be a smooth projective variety, defined over an algebraically closed field of positive characteristic, such that the tangent bundle TX is trivial. Let FX: X→X be the absolute Frobenius morphism of X. We prove that for any n≥1 , the n-fold composition FXn is a torsor over X for a finite group-scheme that depends on n. For any vector bundle E→X, we show that the direct image FXn∗E is essentially finite (respectively, F-trivial) if and only if E is essentially finite (respectively, F-trivial).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| ID Code: | 87689 |
| Deposited On: | 20 Mar 2012 14:10 |
| Last Modified: | 27 Jun 2012 13:47 |
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