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27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
13 августа 2019 г. 15:00, г. Красноярск, Сибирский федеральный университет


Holomorphic curves with deficiencies

Y. Aihara

Fukushima University



Аннотация: In this talk, we discuss holomorphic curves with deficiencies in a complex projective space ${\mathbf P}^n({\mathbf C})$. We first give some methods of making holomorphic curves with deficient hypersurfaces, We show that for a given hypersurface $D$ in ${\mathbf P}^n({\mathbf C)}$, there is a holomorphic curve $f:{\mathbf C}\to {\mathbf P}^n({\mathbf C})$ with $\delta_f(D)>0$.
Next we investigate some properties of holomorphic curves with deficient divisors. In particular, we consider how the existence of deficient divisors affects the uniqueness problem of holomorphic curves.

Язык доклада: английский


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