In this companion paper to arXiv:0802.1928 we provide an example of an
isolated surface singularity $R$ over a number field such that $K_0(R) =
K_0(R[t])$ but $K_0(R) \neq K_0(R[t_1,t_2])$. This answers, negatively, a
question of Bass.Comment: The paper was previously part of arXiv:0802.192

C. Haesemeyer

C. Weibel

Communicated Irena Peeva

G. Cortiñas

Mark E. Walker

Proceedings of the American Mathematical Society

English

arXiv

We address Bass' question, on whether K_n(R)=K_n(R[t]) implies  K_n(R)=K_n(R[t_1,t_2]). 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=0Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Haesemeyer, C.. University of California; Estados UnidosFil: Walker, Mark E.. University Of Nebraska; Estados UnidosFil: Weibel, C.. Rutgers University; Estados Unido

Cortiñas, Guillermo Horacio

Haesemeyer, C.

Walker, Mark E.

Weibel, C.

CONICET Digital

A negative answer to a question of Bass

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LAReferencia - Red Federada de Repositorios Institucionales de Publicaciones Científicas Latinoamericanas

We address Bass' question, on whether Kn(R) = Kn(R&#91;t&#93;) implies Kn(R) = Kn(R&#91;t1, t2&#93;). 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

A negative answer to a question of Bass

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