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

2018-06-20

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

2018.04.17, 16:20-17:20

N913

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.