On a conjecture of Vorst

Thomas  Geisser; Lars Hesselholt

doi:10.1007/s00209-010-0806-2

On a conjecture of Vorst

3 Citations (Scopus)

Abstract

Let k be an infinite perfect field of positive characteristic such that strong resolution of singularities holds over k. We prove that a localization of a d-dimensional commutative k-algebra R of finite type is K _d+1-regular if and only if it is regular. This partially affirms a conjecture of Vorst.

Original language	English
Journal	Mathematische Zeitschrift
Pages (from-to)	445-452
ISSN	0025-5874
DOIs	https://doi.org/10.1007/s00209-010-0806-2
Publication status	Published - Feb 2012
Externally published	Yes

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Geisser, T., & Hesselholt, L. (2012). On a conjecture of Vorst. Mathematische Zeitschrift, 445-452. https://doi.org/10.1007/s00209-010-0806-2

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title = "On a conjecture of Vorst",

abstract = "Let k be an infinite perfect field of positive characteristic such that strong resolution of singularities holds over k. We prove that a localization of a d-dimensional commutative k-algebra R of finite type is K d+1-regular if and only if it is regular. This partially affirms a conjecture of Vorst.",

author = "Thomas Geisser and Lars Hesselholt",

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doi = "10.1007/s00209-010-0806-2",

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journal = "Mathematische Zeitschrift",

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AU - Geisser, Thomas

AU - Hesselholt, Lars

PY - 2012/2

Y1 - 2012/2

N2 - Let k be an infinite perfect field of positive characteristic such that strong resolution of singularities holds over k. We prove that a localization of a d-dimensional commutative k-algebra R of finite type is K d+1-regular if and only if it is regular. This partially affirms a conjecture of Vorst.

AB - Let k be an infinite perfect field of positive characteristic such that strong resolution of singularities holds over k. We prove that a localization of a d-dimensional commutative k-algebra R of finite type is K d+1-regular if and only if it is regular. This partially affirms a conjecture of Vorst.

U2 - 10.1007/s00209-010-0806-2

DO - 10.1007/s00209-010-0806-2

M3 - Journal article

SN - 0025-5874

SP - 445

EP - 452

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

ER -

On a conjecture of Vorst

Abstract

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