2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60586This is an introduction to author's ramification theory of a complete discrete valuation field with residue field whose p-basis consists of at most one element. New lower and upper filtrations are defined; cyclic extensions of degree p may have non-integer ramification breaks. A refinement of the filtration for two-dimensional local fields which is compatible with the reciprocity map is discussed.For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-17.abs.htmlNumber TheoryAlgebraic Geometry12F99, 12J25, 11-99, 19F99text