Krishna, Amalendu (2009) Zero cycles on singular surfaces Journal of K-Theory, 4 (1). pp. 101-143. ISSN 1865-2433
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Official URL: https://www.cambridge.org/core/journals/journal-of...
Related URL: http://dx.doi.org/10.1017/is008008018jkt068
Abstract
Let X be a reduced and projective singular surface over ℂ and let ˜X → X be a resolution of singularities of X. We show that CH2(X) ≅ CH2(˜X) if and only if H2(X,ΩiX/C)≅ H2(˜X,Ωi˜X/C) 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cambridge University Press. |
| Keywords: | Algebraic Cycles; Deligne Cohomology; Singular Surfaces |
| ID Code: | 102468 |
| Deposited On: | 09 Mar 2018 10:47 |
| Last Modified: | 09 Mar 2018 10:47 |
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