Effectiveness in Kobayashi Conjecture and Nakamaye Theorem for Universal Grassmannian

Ya Deng (1)

1 IF - Institut Fourier

Our main goal in this paper is to give an effective bound for the degree of generic hyper-surfaces in $\mathbb{P}^n$ which are Kobayashi hyperbolic, based on the recent work of Brotbek.

Mots clés: Kobayashi hyperbolic; Effective bounds; Nakamaye Theorem; Wronskian; Demailly-Semple tower; Universal Grassmannian

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Ya Deng. Effectiveness in Kobayashi Conjecture and Nakamaye Theorem for Universal Grassmannian. 2016. ⟨hal-01308628v1⟩