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Roitman‘s Theorem for Singular Projective Varieties

Published online by Cambridge University Press:  04 December 2007

J. BISWAS  and
V. SRINIVAS
J. BISWAS
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, India. e-mail: srinivas@math.tifr.res.in, jishnu@math.tifr.res.in
V. SRINIVAS
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, India. e-mail: srinivas@math.tifr.res.in, jishnu@math.tifr.res.in
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Abstract

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We construct an Abel–Jacobi mapping on the Chow group of 0-cycles of degree 0, and prove a Roitman theorem, for projective varieties over C with arbitrary singularities. Along the way, we obtain a new version of the Lefschetz Hyperplane theorem for singular varieties.

Keywords

0-cycleRoitman theoremLefschetz theorem.
Type
Research Article
Information
Compositio Mathematica , Volume 119 , Issue 2 , November 1999 , pp. 213 - 237
Copyright
© 1999 Kluwer Academic Publishers