Abstract
AbstractLetKbe a local field of equal characteristicp>2, letXK/Kbe a smooth proper relative curve, and letbe a rank 1 smoothl-adic sheaf (l≠p) on a dense open subsetUKXK. In this paper, under some assumptions on the wild ramification of, we prove a conductor formula that computes the Swan conductor of the etale cohomology of the vanishing cycles of. Our conductor formula is a generalization of the conductor formula of Bloch, but for non-constant coefficients.
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