The non-acyclicity class of a constructible etale sheaf is additive across distinguished triangles, under a cohomological smoothness assumption.
Ferrand,On the non additivity of the trace in derived categories , preprint available at arXiv: 0506589.↑3
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Additivity of non-acyclicity classes for constructible \'etale sheaves
The non-acyclicity class of a constructible etale sheaf is additive across distinguished triangles, under a cohomological smoothness assumption.