7 citations · 12 across the 6 of their papers we have counts for
6 papers
Ramification of surfaces: Artin-Schreier extensions
Igor Zhukov
Let be a regular 2-dimensional local ring of characteristic , and let be a cyclic extension of degree of its field of fractions such that the corresponding branc…
On ramification theory in the imperfect residue field case
Igor B. Zhukov
We consider the class of complete discretely valued fields such that the residue field is of prime characteristic p and the cardinality of a -base is 1. This class includes two-…
Ramification of surfaces: sufficient jet order for wild jumps
Igor Zhukov
We develop a new approach to construction of numerical invariants for ramified coverings of algebraic surfaces of prime characteristic. Let A be a two-dimensional regular local rin…
Invitation to higher local fields, Part I, section 17: An approach to higher ramification theory
Igor Zhukov
This 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…
Invitation to higher local fields, Part I, section 14: Explicit abelian extensions of complete discrete valuation fields
Igor Zhukov
This work presents author's explicit methods of constructing abelian extensions of complete discrete valuation fields. His approach to explicit equations of a cyclic extension of d…
Invitation to higher local fields, Part I, section 1: Higher dimensional local fields
Igor Zhukov
Basic concepts of higher local fields and topologies on their additive and multiplicative groups are introduced.