On the F-fundamental group scheme

Amrutiya, Sanjay ; Biswas, Indranil (2010) On the F-fundamental group scheme Bulletin des Sciences Mathematiques, 134 (5). pp. 461-474. ISSN 0007-4497

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00074...

Related URL: http://dx.doi.org/10.1016/j.bulsci.2009.12.002

Abstract

Let X be a smooth projective variety defined over a perfect field k of positive characteristic, and let FX be the absolute Frobenius morphism of X. For any vector bundle E→X, and any polynomial g with non-negative integer coefficients, define the vector bundle g- (E) using the powers of FX and the direct sum operation. We construct a neutral Tannakian category using the vector bundles with the property that there are two distinct polynomials f and g with non-negative integer coefficients such that f-(E) = g-(E). We also investigate the group scheme defined by this neutral Tannakian category.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:F-fundamental Group Scheme; Tannakian Category; Frobenius-finite Vector Bundle
ID Code:3572
Deposited On:12 Oct 2010 04:21
Last Modified:27 Jan 2011 05:09

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