|
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
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
Linking options:
https://www.mathnet.ru/eng/mzm9983 https://www.mathnet.ru/eng/mzm/v20/i2/p207
|
Statistics & downloads: |
Abstract page: | 165 | Full-text PDF : | 65 | First page: | 1 |
|