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Fuchsian modules

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Abstract

The structure of Fuchsian modules over the field of convergent power series in one variable is investigated. A complete description is obtained of indecomposable Fuchsian modules when the subfield of constants has an Archimedian metric, and some results are proved concerning the decomposition of Fuchsian modules into direct sums when the subfield of constants is endowed with a p-adic metric.

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Literature cited

  1. Ju. I. Manin, “Moduli fuchsiani,” Ann. Scuola Norm. Sup. di Pisa (3),19, No. 1, 113–126 (1965).

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Authors and Affiliations

  1. V. M. Lomonosov Moscow State University, USSR

    E. V. Pankrat'ev

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  1. E. V. Pankrat'ev
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Translated from Matematicheskie Zametki, Vol. 8, No. 6, pp. 799–810, December, 1970.

The author wishes to thank Ju. I. Manin and A. V. Mikhalev for the interest they have shown in this work.

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Pankrat'ev, E.V. Fuchsian modules. Mathematical Notes of the Academy of Sciences of the USSR 8, 924–930 (1970). https://doi.org/10.1007/BF01673696

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  • DOI: https://doi.org/10.1007/BF01673696

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