Semi-continuity for total dimension divisors of \'etale sheaves
Algebraic Geometry
2016-01-18 v2
Abstract
In this article, we extend a pull-back inequality for total dimension divisors of \'etale sheavs due to Saito. Using this formula, we generalize Deligne and Laumon's lower semi-continuous property for Swan conductors of \'etale sheaves on relative curves to higher relative dimensions in a geometric situation.
Keywords
Cite
@article{arxiv.1511.04866,
title = {Semi-continuity for total dimension divisors of \'etale sheaves},
author = {Haoyu Hu and Enlin Yang},
journal= {arXiv preprint arXiv:1511.04866},
year = {2016}
}
Comments
16 pages. Improve the writing in the new version