Fesenko, Ivan B. - School of Mathematical Sciences, University of Nottingham

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Fesenko, Ivan B. - School of Mathematical Sciences, University of Nottingham

Local Class Field Theory I In this chapter we develop the theory of abelian extensions of a local field with finite
Sequential topologies and quotients of Milnor K-groups of higher local fields
ABELIAN EXTENSIONS OF COMPLETE DISCRETE VALUATION FIELDS
Introduction to the second edition vii Foreword to the first edition by I. R. Shafarevich xi
Local Class Field Theory II In this chapter we consider various generalizations of local class field theory established
MEAN-PERIODICITY AND ZETA FUNCTIONS MASATOSHI SUZUKI, GUILLAUME RICOTTA, AND IVAN FESENKO
Measure, integration and elements of harmonic analysis on generalized loop spaces
Several nonstandard remarks Hawkin's Theory of Progress: Progress does not consist
Class Field Theory Its Centenary and Prospect Advanced Studies in Pure Mathematics, vol. 30, 6378
On the image of noncommutative local reciprocity map Ivan Fesenko
On just infinite pro-p-groups and arithmetically profinite extensions of local fields
Fields Galois-equivalent to a local field of positive characteristic Ido Efrat and Ivan Fesenko
List of Publications Ivan Fesenko
ISSN 1464-8997 (on line) 1464-8989 (printed) iii Geometry & Topology Monographs
Invitation to higher local fields Conference in Munster, AugustSeptember 1999
Invitation to higher local fields Conference in Munster, AugustSeptember 1999
Introduction to the Second Edition The class of discrete valuation fields appears to be next in significance and order
Complete Discrete Valuation Fields This chapter introduces local fields as complete discrete valuation fields with perfect
Bibliography Introductory sources on related subjects.
Analysis on arithmetic schemes. I Ivan Fesenko
The Norm Map In this chapter we study the norm map acting on Henselian discrete valuation fields.
The Group of Units of Local Number Fields In this chapter we assume that
Explicit Formulas for the Hilbert Symbol This chapter presents comprehensive explicit formulas for the ( th) Hilbert symbol
Geometry of and analysis on regular models of elliptic curves over global fields
-groups of a Local Field In this chapter we treat J. Milnor's -ring of a field and its properties. Milnor -groups
Explicit Formulas for Hilbert Pairings on Formal Groups The method of the previous chapter possesses a valuable property: it can be relatively
Adelic approach to the zeta function of arithmetic schemes in dimension two
Analysis on arithmetic schemes. III Ivan Fesenko
Analysis on arithmetic schemes. II Ivan Fesenko
Extensions of Discrete Valuation Fields This chapter studies discrete valuation fields in relation to each other. The first section
J. K-Theory 5 (2010), 437557 doi:10.1017/is010004028jkt103
MODEL THEORY GUIDANCE IN NUMBER THEORY? IVAN FESENKO
ISSN 1464-8997 (on line) 1464-8989 (printed) 199 Geometry & Topology Monographs