arXiv:1304.3784 Abstract | arXiv Analytics

arXiv:1304.3784 [math.AG]Abstract References Reviews Resources

Homotopy invariance of higher K-theory for abelian categories

Published 2013-04-13, updated 2014-12-13Version 3

The main theorem in this paper is that the base change functor from a noetherian abelian category to its noetherian polynomial category induces an isomorphism on K-theory. The main theorem implies the well-known fact that A^1-homotopy invariance of K'-theory for noetherian schemes.

Comments: arXiv admin note: substantial text overlap with arXiv:1104.4240

Categories: math.AG, math.AC, math.AT, math.CT, math.KT

Keywords: homotopy invariance, higher k-theory, noetherian polynomial category induces, noetherian abelian category, base change functor

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