Conductors in p-adic families
Conductors in p-adic families
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 …