4 papers
math.AG2002
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…
math.AG2002
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…
math.NT2000
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…
math.NT2000
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.