Murthy's conjecture on 0-cycles
classification
🧮 math.AG
keywords
conjecturecyclesmurthyaffineaffirmativealgebraalgebraicallyapplications
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We show that the Levine-Weibel Chow group of 0-cycles $\CH^d(A)$ of a reduced affine algebra $A$ of dimension $d \ge 2$ 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..
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