N-dimensional rings with an isolated singular point having nonzero K-N
type: Item
instance of: scholarly article
title: N-dimensional rings with an isolated singular point having nonzero K-N
zbMATH Open document ID: 0634.14006
DOI: 10.1007/BF00533419
author: Les Reid
published in: \(K\)-Theory
publication date: 1987-01-01T00:00:00Z
review text: Let k be field and \(S_ d(k)\) the class of normal d-dimensional affine k-algebras whose underlying variety has a single singular point. The author constructs for any given k and \(d\geq 2\), \((1)\quad a\) k-algebra \(A\in S_ d(k)\) with \(K_{-d}(A)\neq 0\); \((2)\quad a\) k-algebra \(A\in S_ d(k)\) with \(NK_{-(d-1)}(A)\neq 0.\) The first construction gives counter-examples to a conjecture of C. Weibel.
Mathematics Subject Classification ID: 14C35
Mathematics Subject Classification ID: 13D15
Mathematics Subject Classification ID: 18F25
zbMATH DE Number: 4031844
zbMATH Keywords: construction of algebras with non-vanishing K-groups
MaRDI profile type: Publication
cites work: THE GEOMETRY OF TORIC VARIETIES
cites work: K-Theory of Hyperplanes
cites work: Introduction to Algebraic K-Theory. (AM-72)
cites work: Some results on the lower K-theory of singular affine varieties
cites work: A Brown-Gersten spectral sequence for the K-theory of varieties with isolated singularities
cites work: Q3947813
cites work: K-theory and analytic isomorphisms
cites work: Negative K-theory of varieties with isolated singularities
Recommended article: Q4370977
Recommended article: Rings whose singular ideals are nil
Recommended article: Q4873903
Recommended article: Nonsingular rings with a countable-dimensional annihilator base
Recommended article: Fixed point rings of some non noetherian rings
Recommended article: Noetherian Rings with Krull Dimension One
Recommended article: Almost Buchsbaumness of some rings arising from complexes with isolated singularities
Recommended article: Q3656541
Recommended article: Q3203129
Recommended article: On nonsingular \(p\)-injective rings
description: scientific article; zbMATH DE number 4031844