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Towards Vorst's conjecture in positive characteristic

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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. Click to show full abstract

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.

Keywords: positive characteristic; conjecture positive; conjecture; towards vorst; vorst conjecture

Journal Title: Compositio Mathematica
Year Published: 2021

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