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arxiv: 1511.04866 · v2 · pith:KPCOKPBDnew · submitted 2015-11-16 · 🧮 math.AG

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

classification 🧮 math.AG
keywords etaledimensiondivisorsrelativesheavestotalarticleconductors
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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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