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Traces and residues

Neeman, Amnon

Description

Let f : X → Y be a separated morphism of Noetherian schemes, and let W ⊂ X be a union of closed subsets such that the restriction of f to each of them is proper. In duality theory, one considers trace maps Rf∗R⌈wf! !OY → OY. In a recent paper, we gave a new construction of such a trace map, using a certain natural transformation ψ(f) : fx -→ f!. In this note, we show how to compute it. In duality theory, there are abstract, functorial definitions, and there are computationally useful formulas,...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/13287
Source: Indiana University Mathematics Journal
DOI: 10.1512/iumj.2015.64.5461

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