Murthy's conjecture on 0-cycles

• 成果类型: Article
• 署名作者: Krishna, Amalendu
• 署名单位: Tata Institute of Fundamental Research (TIFR)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00871-8
• 发表日期: 2019
• 页码: 549-602
• 关键词: algebraic k-theory; euler class group; zero-cycles; projective-modules; roitmans theorem; chow group; VARIETIES; torsion; SINGULARITIES; threefolds

摘要

We show that the Levine-Weibel Chow group of 0-cycles CHd(A) of a reduced affine algebra A of dimension d >= 2 over an algebraically closed field is torsion-free. Among several applications, it implies an affirmative solution to an old conjecture of Murthy in classical K-theory.