Semi-continuity for total dimension divisors of étale sheaves
arXiv:1511.04866
Abstract
In this article, we extend a pull-back inequality for total dimension divisors of étale sheavs due to Saito. Using this formula, we generalize Deligne and Laumon's lower semi-continuous property for Swan conductors of étale sheaves on relative curves to higher relative dimensions in a geometric situation.
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