Krishna, Amalendu
(2009)
*An Artin-Rees theorem in Κ-theory and applications to zero cycles*
Journal of Algebraic Geometry, 19
(3).
pp. 555-598.
ISSN 1056-3911

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Official URL: http://www.ams.org/journals/jag/2010-19-03/S1056-3...

Related URL: http://dx.doi.org/10.1090/S1056-3911-09-00521-9

## Abstract

For the smooth normalization f : ̅X → X of a singular variety X over a field k of characteristic zero, we show that for any conducting subscheme Y for the normalization, and for any i ε Z, the natural map K_{i}(X, ̅X, nY) → K_{i}(X, ̅X, Y) is zero for all sufficiently large n. As an application, we prove a formula for the Chow group of zero cycles on a quasi-projective variety X over k with Cohen-Macaulay isolated singularities, in terms of an inverse limit of the relative Chow groups of a desingularization ˜X relative to the multiples of the exceptional divisor. We use this formula to verify a conjecture of Srinivas about the Chow group of zero cycles on the affine cone over a smooth projective variety which is arithmetically Cohen-Macaulay.

Item Type: | Article |
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ID Code: | 102548 |

Deposited On: | 09 Mar 2018 10:47 |

Last Modified: | 09 Mar 2018 10:47 |

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