A negative answer to a question of bass

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 surfac...

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Autor principal: Cortiñas, Guillermo Horacio
Publicado: 2011
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v139_n4_p1187_CortiNas
http://hdl.handle.net/20.500.12110/paper_00029939_v139_n4_p1187_CortiNas
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id paper:paper_00029939_v139_n4_p1187_CortiNas
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spelling paper:paper_00029939_v139_n4_p1187_CortiNas2023-06-08T14:23:31Z A negative answer to a question of bass Cortiñas, Guillermo Horacio 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. © c 2010 American Mathematical Society. Fil:CortiNas, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v139_n4_p1187_CortiNas http://hdl.handle.net/20.500.12110/paper_00029939_v139_n4_p1187_CortiNas
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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. © c 2010 American Mathematical Society.
author Cortiñas, Guillermo Horacio
spellingShingle Cortiñas, Guillermo Horacio
A negative answer to a question of bass
author_facet Cortiñas, Guillermo Horacio
author_sort Cortiñas, Guillermo Horacio
title A negative answer to a question of bass
title_short A negative answer to a question of bass
title_full A negative answer to a question of bass
title_fullStr A negative answer to a question of bass
title_full_unstemmed A negative answer to a question of bass
title_sort negative answer to a question of bass
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v139_n4_p1187_CortiNas
http://hdl.handle.net/20.500.12110/paper_00029939_v139_n4_p1187_CortiNas
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