ZERO-CYCLES on NORMAL PROJECTIVE VARIETIES

Ghosh, M and Krishna, A (2022) ZERO-CYCLES on NORMAL PROJECTIVE VARIETIES. In: Journal of the Institute of Mathematics of Jussieu .

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Abstract

We prove an extension of the Kato-Saito unramified class field theory for smooth projective schemes over a finite field to a class of normal projective schemes. As an application, we obtain Bloch's formula for the Chow groups of 0-cycles on such schemes. We identify the Chow group of 0-cycles on a normal projective scheme over an algebraically closed field to the Suslin homology of its regular locus. Our final result is a Roitman torsion theorem for smooth quasiprojective schemes over algebraically closed fields. This completes the missing p-part in the torsion theorem of Spie� and Szamuely. © The Author(s), 2022. Published by Cambridge University Press.

Item Type:	Journal Article
Publication:	Journal of the Institute of Mathematics of Jussieu
Publisher:	Cambridge University Press
Additional Information:	The copyright for this article belongs to Cambridge University Press
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	16 Mar 2022 06:12
Last Modified:	16 Mar 2022 06:12
URI:	http://eprints.iisc.ac.in/id/eprint/71510

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