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arxiv: 1902.04831 · v1 · pith:OBPIKZIPnew · submitted 2019-02-13 · 🧮 math.AG

On the generalisation of cohomology with compact support to non-finite type schemes

classification 🧮 math.AG
keywords morphismstypeclassetalefinitearticlecategorycohomology
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In this article we extend Deligne's construction of Grothendieck's six operations on the derived category of torsion sheaves over the \'etale site of a scheme for morphisms of finite type to a larger class of morphisms. This class includes profinite \'etale coverings as well as separated morphisms perfectly of finite type

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    New proof of Esnault vanishing for constructible sheaf cohomology in mock Frobenius towers via global perversity of nearby cycles.