Fubini's theorem and non-linear change of variables over a two-dimensional local field
Number Theory
2010-01-10 v3 Algebraic Geometry
Abstract
We consider non-linear changes of variables and Fubini's theorem for certain integrals over a two-dimensional local field. An interesting example is presented in which imperfectness of a finite characteristic local field causes Fubini's theorem to unexpectedly fail. The relationship to ramification theory is discussed.
Keywords
Cite
@article{arxiv.0712.2177,
title = {Fubini's theorem and non-linear change of variables over a two-dimensional local field},
author = {Matthew Morrow},
journal= {arXiv preprint arXiv:0712.2177},
year = {2010}
}
Comments
(First replacement) An error was found in the proof of lemma 3.13 and the lemma as stated was false; the paper was significantly rewritten. (Second replacement) Comments on ramification theory have been added; a more comprehensive version of this paper is now available as chapter 4 of the author's thesis (see reference in paper)