Infrastructure (number theory)
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High Quality Content by WIKIPEDIA articles! In mathematics, an infrastructure is a group-like structure appearing in global fields.The infrastructure was also described for other global fields, namely for algebraic function field over finite fields. This was done first by A. Stein and H. G. Zimmer in the case of real hyperelliptic function fields. It was extended to certain cubic function fields of unit rank one by R. Scheidler and A. Stein. In 1999, S. Paulus and H.-G. Rück related the infrastructure of a real quadratic function field to the divisor class group. This connection can be…mehr

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High Quality Content by WIKIPEDIA articles! In mathematics, an infrastructure is a group-like structure appearing in global fields.The infrastructure was also described for other global fields, namely for algebraic function field over finite fields. This was done first by A. Stein and H. G. Zimmer in the case of real hyperelliptic function fields. It was extended to certain cubic function fields of unit rank one by R. Scheidler and A. Stein. In 1999, S. Paulus and H.-G. Rück related the infrastructure of a real quadratic function field to the divisor class group. This connection can be generalized to arbitrary function fields and, combining with R. Schoof's results, to all global fields.