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arXiv · 1511.05941

Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves

Oliver Braunling·Michael Groechenig·Jesse Wolfson
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Abstract

We investigate the properties of relative analogues of admissible Ind, Pro, and elementary Tate objects for pairs of exact categories, and give criteria for those categories to be abelian. A relative index map is introduced, and as an application we deduce a description for boundary morphisms in the K-theory of coherent sheaves on Noetherian schemes.

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Oliver Braunling, Michael Groechenig, Jesse Wolfson. 2015-11-18. Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves. https://arxiv.org/abs/1511.05941

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