arXiv subjects

Kirsty Syder

Publications and source records attributed to Kirsty Syder.

2 recordsLinked to original sources

arXiv2014

Two-Dimensional Local-Global Class Field Theory in Positive Characteristic

Using the higher tame symbol and Kawada and Satake's Witt vector method, A. N. Parshin developed class field theory for higher local fields, defining reciprocity maps separately for the tamely ramified and wildly ramified cases. We extend this technique to the case of local-global fields associated to points and curves on an algebraic surface over a finite field.

math.NT↗

arXiv2013

Reciprocity Laws for the Higher Tame Symbol and the Witt Symbol on an Algebraic Surface

Parshin's higher Witt pairing on an arithmetic surface can be combined with the higher tame pairing to form a symbol taking values in the absolute abelian Galois group of the function field. We prove reciprocity laws for this symbol using techniques of Morrow for the Witt symbol and Romo for the higher tame symbol.

math.NT↗