二维局部域上的富比尼定理与非线性变量替换
数论
2010-01-10 v3 代数几何
摘要
我们考虑了二维局部域上某些积分的非线性变量替换与富比尼定理。文中展示了一个有趣的例子，其中有限特征局部域的不完美性导致富比尼定理意外失效。此外还讨论了其与分歧理论的关系。
引用
@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}
}
备注
(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)