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On class numbers of quadratic extensions¶over function fields

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Abstract:

We consider class numbers of quadratic extensions over a fixed function field. We will show that there exist infinitely many quadratic extensions which have class numbers not being divisible by 3 and satisfy prescribed ramification conditions.

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Authors and Affiliations

  1. Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan. e-mail: iwao@math.tsukuba.ac.jp, , , , , , JP

    Iwao Kimura

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  1. Iwao Kimura
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Received: 24 October 1997 / Revised version: 26 February 1998

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Kimura, I. On class numbers of quadratic extensions¶over function fields . manuscripta math. 97, 81–91 (1998). https://doi.org/10.1007/s002290050087

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  • DOI: https://doi.org/10.1007/s002290050087

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