Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves
classification
🧮 math.KT
math.AG
keywords
relativeboundarycategoriescoherentk-theoryobjectssheavestate
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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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