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arXiv · 0912.2829

Final remarks on local discriminants

Chandan Singh Dalawat
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Abstract

We show how the ramification filtration on the maximal elementary abelian p-extension (p prime) on a local number field of residual characteristic p can be derived using only Kummer theory and a certain orthogonality relation for the Kummer pairing, even in the absence of a primitive p-th root of 1; the case of other local fields with finite residue fields was treated earlier. In all cases, we compute the contribution of cyclic extensions to Serre's degree-$p$ mass formula.

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Chandan Singh Dalawat. 2010-11-25. Final remarks on local discriminants. https://arxiv.org/abs/0912.2829

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