A negative answer to a question of Bass

We address Bass' question, on whether K_n(R)=K_n(R[t]) K_n(R)=K_n(R[t_1,t_2]) 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 ``n...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2011-04, Vol.139 (4), p.1187-1200
Main Authors: CORTINAS, G, HAESEMEYER, C, WALKER, Mark E, WEIBEL, C
Format: Article
Language:English
Subjects:
Algebra
Cotangent function
Exact sciences and technology
Functors
General mathematics
General, history and biography
Grants
Hypersurfaces
Isolated singularities
Mathematical rings
Mathematical theorems
Mathematics
Number theory
Research grants
Sciences and techniques of general use
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Summary:We address Bass' question, on whether K_n(R)=K_n(R[t]) K_n(R)=K_n(R[t_1,t_2]) 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
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2010-10728-1