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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)
[ 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.
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