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arXiv · 1511.04866

Semi-continuity for total dimension divisors of \'etale sheaves

Haoyu Hu·Enlin Yang
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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.

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Haoyu Hu, Enlin Yang. 2015-11-16. Semi-continuity for total dimension divisors of \'etale sheaves. https://arxiv.org/abs/1511.04866

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