6533b828fe1ef96bd1288536

RESEARCH PRODUCT

Towards Vorst's conjecture in positive characteristic

Florian StrunkGeorg TammeMoritz Kerz

subject

CombinatoricsMathematics - Algebraic GeometryRing (mathematics)Algebra and Number TheoryConjectureMathematics::K-Theory and HomologyMathematics - K-Theory and HomologyFOS: MathematicsK-Theory and Homology (math.KT)Algebraic Geometry (math.AG)Valuation ringMathematics

description

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

https://doi.org/10.1112/s0010437x21007120