A refinement of the Artin conductor and the base change conductor

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A refinement of the Artin conductor and the base change conductor

For a local field K with positive residue characteristic p, we introduce, in the first part of this paper, a refinement bArK of the classical Artin distribution ArK . It takes values in cyclotomic extensions of Q which are unramified at p, and it bisects ArK in the sense that ArK is equal to the sum of bArK and its conjugate distribution. Compared with 12ArK , the bisection bArK provides a high...

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ژورنال

عنوان ژورنال: Algebraic Geometry

سال: 2015

ISSN: 2214-2584

DOI: 10.14231/ag-2015-019