A local ring such that the map between Grothendieck groups with rational coefficient induced by completion is not injective

Simple item page
dc.creatorKurano, Kazuhiko
dc.creatorSrinivas, Vasudevan
dc.date2007-07-04
dc.date.accessioned2026-07-07T08:13:54Z
dc.date.available2026-07-07T08:13:54Z
dc.descriptionIn this paper, we construct a local ring $A$ such that the kernel of the map $G_0(A)\subq \to G_0(\hat{A})\subq$ is not zero, where $\hat{A}$ is the comletion of $A$ with respect to the maximal ideal, and $G_0()\subq$ is the Grothendieck group of finitely generated modules with rational coefficient. In our example, $A$ is a two-dimensional local ring which is essentially of finite type over ${\Bbb C}$, but it is not normal.
dc.description15pages
dc.identifierhttps://arxiv.org/abs/0707.0547
dc.identifierhttp://arxiv.org/abs/0707.0547
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132938
dc.subjectCommutative Algebra
dc.subjectK-Theory and Homology
dc.subject13D15, 19A49
dc.titleA local ring such that the map between Grothendieck groups with rational coefficient induced by completion is not injective
dc.typetext

Files

Collections

arXiv