English

Towards Vorst's conjecture in positive characteristic

K-Theory and Homology 2021-07-01 v3 Algebraic Geometry

Abstract

Vorst's conjecture relates the regularity of a ring with the A1\mathbb{A}^1-homotopy invariance of its KK-theory. We show a variant of this conjecture in positive characteristic.

Keywords

Cite

@article{arxiv.1812.05342,
  title  = {Towards Vorst's conjecture in positive characteristic},
  author = {Moritz Kerz and Florian Strunk and Georg Tamme},
  journal= {arXiv preprint arXiv:1812.05342},
  year   = {2021}
}

Comments

v1: 23 pages; v2: added a result for curves in mixed characteristic, 30 pages; v3: final version, 31 pages

R2 v1 2026-06-23T06:41:13.995Z