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On the number of Frobenius-trivial vector bundles on specific curves

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Abstract

This note investigates, through direct computational methods, the existence of infinitely many isomorphism classes of stable vector bundles which become trivial after being pulled back by the Frobenius morphism. We obtain examples, in characteristic two, where infinitely many such isomorphism classes exist. In characteristic three, however, the computations show that the aforementioned sets are finite.

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  1. Faculté de Mathématiques, Université de Paris VI, 4, Place Jussieu, Paris, 75005, France

    João Pedro P. dos Santos

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  1. João Pedro P. dos Santos
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Correspondence to João Pedro P. dos Santos.

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dos Santos, J.P.P. On the number of Frobenius-trivial vector bundles on specific curves. Arch. Math. 99, 227–235 (2012). https://doi.org/10.1007/s00013-012-0424-9

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  • DOI: https://doi.org/10.1007/s00013-012-0424-9

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