Two-dimensional local-global class field theory in positive characteristic

Syder, Kirsty (2014) Two-dimensional local-global class field theory in positive characteristic. PhD thesis, University of Nottingham.

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Abstract

Using the higher tame symbol and Kawada and Satake’s Witt vector method, A.N. Parshin developed class field theory for positive characteristic higher local fields, defining reciprocity maps separately for the tamely ramified and wildly ramified cases. We prove reciprocity laws for these symbols using techniques of Morrow for the Witt symbol and Romo for the higher tame symbol. We then extend this method of defining a reciprocity map to the case of positive characteristic local- global fields associated to points and curves on an algebraic surface over a finite field.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Fesenko, Ivan
Wuthrich, C.
Subjects: Q Science > QA Mathematics > QA150 Algebra
Faculties/Schools: UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID: 14538
Depositing User: EP, Services
Date Deposited: 16 Aug 2016 10:25
Last Modified: 14 Sep 2016 18:08
URI: http://eprints.nottingham.ac.uk/id/eprint/14538

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