Conductors in p-adic families

Jyoti Prakash Saha

Type: Article

Publication Date: 2016-10-31

Citations: 5

DOI: https://doi.org/10.1007/s11139-016-9836-7

Abstract

Given a Weil-Deligne representation of the Weil group of an $$\ell $$ -adic number field with coefficients in a domain $$\mathscr {O}$$ , we show that its pure specializations have the same conductor. More generally, we prove that the conductors of a collection of pure representations are equal if they lift to Weil-Deligne representations over domains containing $$\mathscr {O}$$ and the traces of these lifts are parametrized by a pseudorepresentation over $$\mathscr {O}$$ .

Locations

The Ramanujan Journal - View - PDF

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