Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves
K-Theory and Homology
2015-11-19 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1511.05941,
title = {Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves},
author = {Oliver Braunling and Michael Groechenig and Jesse Wolfson},
journal= {arXiv preprint arXiv:1511.05941},
year = {2015}
}
Comments
This article supersedes the appendix to arXiv:1410.1466. Comments welcome!