Roitman's Theorem for Singular Projective Varieties

J. Biswas; V. Srinivas

doi:10.1023/A:1001793226084

Roitman's Theorem for Singular Projective Varieties

J. Biswas
, V. Srinivas

Mathematics

Tata Institute of Fundamental Research

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	213-237
Number of pages	25
Journal	Compositio Mathematica
Volume	119
Issue number	2
DOIs	https://doi.org/10.1023/A:1001793226084
State	Published - 1999

Keywords

0-cycle
Lefschetz theorem
Roitman theorem

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title = "Roitman's Theorem for Singular Projective Varieties",

abstract = "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.",

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AU - Srinivas, V.

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AB - 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.

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KW - Lefschetz theorem

KW - Roitman theorem

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DO - 10.1023/A:1001793226084

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JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 2

ER -

Roitman's Theorem for Singular Projective Varieties

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Keywords

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