Construction of a Frobenius nonsplit Harder-Narasimhan filtration

Biswas, Indranil ; Holla, Yogish I. ; Parameswaran, A. J. ; Subramanian, S. (2008) Construction of a Frobenius nonsplit Harder-Narasimhan filtration Comptes Rendus Mathematique, 346 (9-10). pp. 545-548. ISSN 1631-073X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S16310...

Related URL: http://dx.doi.org/10.1016/j.crma.2008.03.011

Abstract

We construct an example of a vector bundle V over a smooth projective variety X such that for no n ≥ 1, the Harder-Narasimhan filtration of FnX splits, where FX is the Frobenius morphism of X.

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