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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Burns, David 2011. Congruences between derivatives of geometric L-functions. Inventiones mathematicae, Vol. 184, Issue. 2, p. 221.


    Viguié, Stéphane 2011. Index-modules and applications. Manuscripta Mathematica, Vol. 136, Issue. 3-4, p. 445.


    Büyükboduk, Kâzim 2009. Kolyvagin systems of Stark units. Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 2009, Issue. 631,


    Popescu, Cristian D. 2005. The Rubin–Stark conjecture for a special class of function field extensions. Journal of Number Theory, Vol. 113, Issue. 2, p. 276.


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Gras-Type Conjectures Fattitle for Function Fields

  • CRISTIAN D. POPESCU (a1)
  • DOI: http://dx.doi.org/10.1023/A:1001586625441
  • Published online: 01 September 1999
Abstract

Based on results obtained in [15], we construct groups of special S-units for function fields of characteristic p>0, and show that they satisfy Gras-type Conjectures. We use these results in order to give a new proof of Chinburg‘s Ω$_3$-Conjecture on the Galois module structure of the group of S-units, for cyclic extensions of prime degree of function fields.

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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