相干束k理论中的相对目标和边界映射

arXiv: K-Theory and Homology Pub Date : 2015-11-18 DOI:10.4310/HHA.2017.V19.N1.A17

O. Braunling, M. Groechenig, J. Wolfson

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引用次数: 4

摘要

我们研究了精确范畴对的可容许的Ind、Pro和初等的Tate对象的相对类似物的性质，并给出了这些范畴是阿贝尔的准则。引入了一个相对索引映射，作为应用，我们推导出了相干束在Noetherian格式上的k理论中边界态射的描述。

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

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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arXiv: K-Theory and Homology

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