2011/04/21 by Satoshi Mochizuki, Mochizuki, Satoshi, Akiyoshi Sannai +1
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1104.4240
openalex publication_date 2011/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main theorem in this paper is that the base change functor from an abelian category \cA to its polynomial category in the sense of Schlichting -⊗\cA\bbZ[t]:\cA → \cA[t] induces an isomorphism on their K-theories if \cA is noetherian and has enough projective objects. The main theorem implies the well-known fact that \mathbbA1-homotopy invariance of K'-theory for noetherian schemes.