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On the Albanese maps of compact Kähler manifolds
Author(s):
F.
Campana;
T.
Peternell;
Qi
Zhang
Journal:
Proc. Amer. Math. Soc.
131
(2003),
549-553.
MSC (2000):
Primary 32J27, 14K30, 14E30, 14J35
Posted:
June 27, 2002
MathSciNet review:
1933346
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Abstract:
We show that compact Kähler manifolds of dimension up to four have a surjective connected Albanese map.
References:
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- Campana, F; Peternell, Th.: Complex threefolds with non-trivial holomorphic 2-forms, J. Algebraic Geom. 9, 223-264 (2000). MR 2002a:32016
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- Zhang, Q.: On projective manifolds with nef anticanonical bundles. J. Reine Angew. Math. 478, 57-60 (1996). MR 97m:14039
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Additional Information:
F.
Campana
Affiliation:
Département de Mathématiques, Université de Nancy, 54506 Vandoeuvre les Nancy, France
T.
Peternell
Affiliation:
Mathematisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany
Qi
Zhang
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Missouri 65211
DOI:
10.1090/S0002-9939-02-06702-3
PII:
S 0002-9939(02)06702-3
Received by editor(s):
June 1, 1999
Received by editor(s) in revised form:
September 27, 2001
Posted:
June 27, 2002
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2002,
American Mathematical Society
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