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Purely inseparable extensions and ramification filtrations

Published 22 Apr 2018 in math.AG and math.NT | (1804.08115v1)

Abstract: In this article, we investigate the shift of Abbes and Saito's ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extension. We also study a functoriality property for characteristic forms.

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