Reciprocity Laws for the Higher Tame Symbol and the Witt Symbol on an Algebraic Surface

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Syder, Kirsty;
  • Subject: Mathematics - Number Theory
    arxiv: Mathematics::K-Theory and Homology | Computer Science::Symbolic Computation

Parshin's higher Witt pairing on an arithmetic surface can be combined with the higher tame pairing to form a symbol taking values in the absolute abelian Galois group of the function field. We prove reciprocity laws for this symbol using techniques of Morrow for the Wi... View more
  • References (30)
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