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Seminários do IMPA

Geometria Diferencial

Título
On dominability of hyperkaehler manifolds
Expositor
Ljudmila Kamenova

Stony Brook University
Data
Terça-feira, 7 de janeiro de 2020, 15:30
Local
Sala 236.
Resumo

An $n$-dimensional complex manifold $M$ is dominable by $C^n$ if there is a holomorphic map $F: {\Bbb C}^n \rightarrow M$ such that the Jacobian determinant of $F$ is not identically zero. In this talk we are going to discuss some cases when a hyperkaehler manifold is dominable by the complex $2n$-space $C^{2n}$. We are also going to mention connections with Brody non-hyperbolicity. This work is joint with Steven Lu.