On the F-fundamental group scheme |
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Authors: | Sanjay Amrutiya Indranil Biswas |
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Institution: | a Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India b School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India |
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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 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 . We also investigate the group scheme defined by this neutral Tannakian category. |
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Keywords: | 14L15 14F05 14F35 |
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