The Albanese map for manifolds without meromorphic functions
Matematičeskie zametki, Tome 20 (1976) no. 2, pp. 207-214
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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.
@article{MZM_1976_20_2_a5,
author = {V. A. Krasnov},
title = {The {Albanese} map for manifolds without meromorphic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {207--214},
year = {1976},
volume = {20},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_2_a5/}
}
V. A. Krasnov. The Albanese map for manifolds without meromorphic functions. Matematičeskie zametki, Tome 20 (1976) no. 2, pp. 207-214. http://geodesic.mathdoc.fr/item/MZM_1976_20_2_a5/