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Matematicheskie Zametki, 1976, Volume 20, Issue 2, Pages 207–214 (Mi mzm9983)  

The Albanese map for manifolds without meromorphic functions

V. A. Krasnov

Chelyabinsk Polytechnic Institute
Abstract: In this paper, the investigation of compact complex manifolds on which there are no nonconstant meromorphic functions, begun in [1], is continued. Here, in the case when such a manifold is kähler, it is proved that the kodaira dimension of the general fiber of the Albanese map $\leqslant0$; the case when the irregularity is equal to the dimension minus one is studied in more detail.
Received: 11.06.1974
English version:
Mathematical Notes, 1976, Volume 20, Issue 2, Pages 675–679
DOI: https://doi.org/10.1007/BF01155873
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. A. Krasnov, “The Albanese map for manifolds without meromorphic functions”, Mat. Zametki, 20:2 (1976), 207–214; Math. Notes, 20:2 (1976), 675–679
Citation in format AMSBIB
\Bibitem{Kra76}
\by V.~A.~Krasnov
\paper The Albanese map for manifolds without meromorphic functions
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 2
\pages 207--214
\mathnet{http://mi.mathnet.ru/mzm9983}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=422703}
\zmath{https://zbmath.org/?q=an:0339.32001}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 2
\pages 675--679
\crossref{https://doi.org/10.1007/BF01155873}
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