On the vanishing of negative K-groups

Thomas  Geisser; Lars Hesselholt

doi:10.1007/s00208-010-0500-z

On the vanishing of negative K-groups

16 Citations (Scopus)

Abstract

We show that for a d-dimensional scheme X essentially of finite type over an infinite perfect field k of characteristic p > 0, the negative K-groups K_q(X) vanish for q < -d provided that strong resolution of singularities holds over the field k.

Original language	English
Journal	Mathematische Annalen
Volume	348
Issue number	3
Pages (from-to)	707-736
ISSN	0025-5831
DOIs	https://doi.org/10.1007/s00208-010-0500-z
Publication status	Published - 2010
Externally published	Yes

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title = "On the vanishing of negative K-groups",

abstract = "We show that for a d-dimensional scheme X essentially of finite type over an infinite perfect field k of characteristic p > 0, the negative K-groups Kq(X) vanish for q < -d provided that strong resolution of singularities holds over the field k.",

author = "Thomas Geisser and Lars Hesselholt",

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T1 - On the vanishing of negative K-groups

AU - Geisser, Thomas

AU - Hesselholt, Lars

PY - 2010

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AB - We show that for a d-dimensional scheme X essentially of finite type over an infinite perfect field k of characteristic p > 0, the negative K-groups Kq(X) vanish for q < -d provided that strong resolution of singularities holds over the field k.

U2 - 10.1007/s00208-010-0500-z

DO - 10.1007/s00208-010-0500-z

M3 - Journal article

SN - 0025-5831

VL - 348

SP - 707

EP - 736

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3

ER -

On the vanishing of negative K-groups

Abstract

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