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Roitman's theorem for singular projective varieties in arbitrary characteristic

Published online by Cambridge University Press:  14 November 2008

Vivek Mohan Mallick
Vivek Mohan Mallick
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, INDIA, vivekm@math.tifr.res.in.
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Abstract

In this paper, we prove Roitman's theorem regarding torsion 0-cycles for singular projective varieties over algebraically closed fields of arbitrary characteristic, for torsion which is of exponent prime to the characteristic. This generalizes earlier results for complex projective varieties. Our proof even in that case is different from the earlier ones.

Keywords

Roitman's theoremChow groupAlbaneseAbel-JacobiLefschetz theorem

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Type
Research Article
Information
Journal of K-Theory , Volume 3 , Issue 3 , June 2009 , pp. 501 - 531
Copyright
Copyright © ISOPP 2009

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