There exist Kobayashi hyperbolic hypersurfaces of all degrees $\geqslant 2N$ in the $N$-dimensional projective space


Dr. Xie Songyan (Max Planck Institute for Mathematics, Bonn)

2018.04.17, 16:20-17:20


Abstract: We construct families of Kobayashi hyperbolic hypersurfaces for alldegrees $\geqslant 2N$ in $\mathbb{CP}^N$, thus confirm the Kobayashi hyperbolicity conjecture in all the low degree cases except the uncertain case of degree 2N-1.This is a joint work with Dihn Tuan Huynh.