English

Homotopy invariance of higher K-theory for abelian categories

Algebraic Geometry 2014-12-16 v3 Commutative Algebra Algebraic Topology Category Theory K-Theory and Homology

Abstract

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.

Keywords

Cite

@article{arxiv.1304.3784,
  title  = {Homotopy invariance of higher K-theory for abelian categories},
  author = {Satoshi Mochizuki and Akiyoshi Sannai},
  journal= {arXiv preprint arXiv:1304.3784},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1104.4240