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Today's seminar
Seminar information archive ～07/03｜Today's seminar 07/04 | Future seminars 07/05～
2022/07/04
Seminar on Geometric Complex Analysis
10:30-12:00 Online
Katsutoshi Yamanoi (Osaka University)
Bloch's principle for holomorphic maps into subvarieties of semi-abelian varieties (Japanese)
https://forms.gle/hYT2hVhDE3q1wDSh6
Katsutoshi Yamanoi (Osaka University)
Bloch's principle for holomorphic maps into subvarieties of semi-abelian varieties (Japanese)
[ Abstract ]
We discuss a generalization of the logarithmic Bloch-Ochiai theorem about entire curves in subvarieties of semi-abelian varieties, in terms of sequences of holomorphic maps from the unit disc.
This generalization implies, among other things, that subvarieties of log general type in semi-abelian varieties are pseudo-Kobayashi hyperbolic.
As another application, we discuss an improvement of a classical theorem due to Cartan in 1920's about the system of nowhere vanishing holomorphic functions on the unit disc satisfying Borel's identity.
[ Reference URL ]We discuss a generalization of the logarithmic Bloch-Ochiai theorem about entire curves in subvarieties of semi-abelian varieties, in terms of sequences of holomorphic maps from the unit disc.
This generalization implies, among other things, that subvarieties of log general type in semi-abelian varieties are pseudo-Kobayashi hyperbolic.
As another application, we discuss an improvement of a classical theorem due to Cartan in 1920's about the system of nowhere vanishing holomorphic functions on the unit disc satisfying Borel's identity.
https://forms.gle/hYT2hVhDE3q1wDSh6
