On a conjecture of Vorst

Thomas  Geisser; Lars Hesselholt

doi:10.1007/s00209-010-0806-2

On a conjecture of Vorst

3 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Mathematische Zeitschrift
Sider (fra-til)	445-452
ISSN	0025-5874
DOI	https://doi.org/10.1007/s00209-010-0806-2
Status	Udgivet - feb. 2012
Udgivet eksternt	Ja

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10.1007/s00209-010-0806-2

Citationsformater

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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",

year = "2012",

month = feb,

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

language = "English",

pages = "445--452",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

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T1 - On a conjecture of Vorst

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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