The tower of K-theory of truncated polynomial algebras
Abstract
Let A a regular Fp-algebra. The relative K-groups Kq(A[x]/(xm),(x)) and the Nil-groups Nilq(A[x]/(xm)) were evaluated earlier by the author and Madsen in terms of the big de Rham-Witt groups of the ring A. In this paper, we evaluate the maps of relative K-groups and Nil-groups induced by the canonical projection from A[x]/(xm) to A[x]/(xn). The result depends strongly on the prime p. It generalizes work of Stienstra on the groups in degrees 2 and 3.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.