Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-23T12:29:20.399Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected], [email protected]
V. SRINIVAS
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, India. e-mail: [email protected], [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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