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The Grothendieck-Lefschetz theorem for normal projective varieties
Author(s):
G.
V.
Ravindra;
V.
Srinivas
Journal:
J. Algebraic Geom.
15
(2006),
563-590.
Posted:
October 25, 2005
Retrieve article in:
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Abstract |
References |
Additional information
Abstract:
We prove that for a normal projective variety  in characteristic 0, and a base-point free ample line bundle  on it, the restriction map of divisor class groups  is an isomorphism for a general member  provided that  . This is a generalization of the Grothendieck-Lefschetz theorem, for divisor class groups of singular varieties.
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Additional Information:
G.
V.
Ravindra
Affiliation:
Department of Mathematics, Washington University, St. Louis, Missouri 63130
Email:
ravindra@math.wustl.edu
V.
Srinivas
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, India
Email:
srinivas@math.tifr.res.in
PII:
S 1056-3911(05)00421-2
Received by editor(s):
April 21, 2005
Received by editor(s) in revised form:
May 31, 2005 and June 15, 2005
Posted:
October 25, 2005
Additional Notes:
Srinivas was partially supported by a Swarnajayanthi Fellowship of the D.S.T
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