A negative answer to a question of bass

G. CortiNas; C. Haesemeyer; Mark E. Walker; C. Weibel

doi:10.1090/S0002-9939-2010-10728-1

A negative answer to a question of bass

G. CortiNas, C. Haesemeyer, Mark E. Walker, C. Weibel

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We address Bass' question, on whether Kn(R) = Kn(R[t]) implies Kn(R) = Kn(R[t1, t2]). In a companion paper, we establish a positive answer to this question when R is of finite type over a field of infinite transcendence degree over the rationals. Here we provide an example of an isolated surface singularity over a number field for which the answer the Bass' question is "no" when n = 0.

Original language	English (US)
Pages (from-to)	1187-1200
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	139
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-2010-10728-1
State	Published - Apr 2011

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-2010-10728-1

Cite this

@article{8f7bffa4c45f46b39b3b3bea2df71e6f,

title = "A negative answer to a question of bass",

abstract = "We address Bass' question, on whether Kn(R) = Kn(R[t]) implies Kn(R) = Kn(R[t1, t2]). In a companion paper, we establish a positive answer to this question when R is of finite type over a field of infinite transcendence degree over the rationals. Here we provide an example of an isolated surface singularity over a number field for which the answer the Bass' question is {"}no{"} when n = 0.",

author = "G. CortiNas and C. Haesemeyer and Walker, {Mark E.} and C. Weibel",

year = "2011",

month = apr,

doi = "10.1090/S0002-9939-2010-10728-1",

language = "English (US)",

volume = "139",

pages = "1187--1200",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - A negative answer to a question of bass

AU - CortiNas, G.

AU - Haesemeyer, C.

AU - Walker, Mark E.

AU - Weibel, C.

PY - 2011/4

Y1 - 2011/4

N2 - We address Bass' question, on whether Kn(R) = Kn(R[t]) implies Kn(R) = Kn(R[t1, t2]). In a companion paper, we establish a positive answer to this question when R is of finite type over a field of infinite transcendence degree over the rationals. Here we provide an example of an isolated surface singularity over a number field for which the answer the Bass' question is "no" when n = 0.

AB - We address Bass' question, on whether Kn(R) = Kn(R[t]) implies Kn(R) = Kn(R[t1, t2]). In a companion paper, we establish a positive answer to this question when R is of finite type over a field of infinite transcendence degree over the rationals. Here we provide an example of an isolated surface singularity over a number field for which the answer the Bass' question is "no" when n = 0.

UR - http://www.scopus.com/inward/record.url?scp=79951831812&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79951831812&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-2010-10728-1

DO - 10.1090/S0002-9939-2010-10728-1

M3 - Article

AN - SCOPUS:79951831812

SN - 0002-9939

VL - 139

SP - 1187

EP - 1200

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

A negative answer to a question of bass

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this