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Zero Cycles on Singular surfaces

Published online by Cambridge University Press:  04 September 2008

Amalendu Krishna
Amalendu Krishna
Affiliation:
School of Mathematics, Tata Institute Of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India, [email protected].
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Abstract

Let X be a reduced and projective singular surface over ℂ and let → X be a resolution of singularities of X. We show that CH2(X) ≅ CH2() if and only if for i = 0, 1. This verifies a conjecture of Srinivas.

We also verify Bloch's conjecture for singular surfaces assuming it holds for smooth surfaces. As a byproduct, we give an application to projective modules on certain singular affine surfaces.

Keywords

Algebraic cyclesDeligne CohomologySingular surfaces
Type
Research Article
Information
Journal of K-Theory , Volume 4 , Issue 1 , August 2009 , pp. 101 - 143
Copyright
Copyright © ISOPP 2008

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