5 research outputs found
A negative answer to a question of Bass
In this companion paper to arXiv:0802.1928 we provide an example of an
isolated surface singularity over a number field such that but . This answers, negatively, a
question of Bass.Comment: The paper was previously part of arXiv:0802.192
Variation of Hilbert Coefficients
For a Noetherian local ring (\RR, \m), the first two Hilbert coefficients,
and , of the -adic filtration of an \m-primary ideal are
known to code for properties of \RR, of the blowup of \spec(\RR) along
, and even of their normalizations. We give estimations for these
coefficients when is enlarged (in the case of in the same integral
closure class) for general Noetherian local rings