7 papers · 1 filter
Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two
Lei Hou, Dinh Tuan Huynh, Joël Merker +2
This paper establishes new degree bounds for Kobayashi hyperbolicity in dimension two. Our main results are: -- A very generic surface in of degree at least is…
A curvature estimate for holomophic maps on open Riemann surfaces
Yunling Chen, Dinh Tuan Huynh
We apply the technique of jet differentials to establish a Gauss curvature estimate for an open Riemann surface , equipped with a conformal metric induced from a nonconstant hol…
A Second Main Theorem for Entire Curves Intersecting Three Conics
Lei Hou, Dinh Tuan Huynh, Joël Merker +2
We establish a Second Main Theorem for entire holomorphic curves \( f: \mathbb{C} \to \mathbb{P}^2 \) intersecting a generic configuration of three conics \(\mathcal{C}= \mathcal{C…
Some variants of the generalized Borel Theorem and applications
Dinh Tuan Huynh
In the first part of this paper, we establish some results around generalized Borel's Theorem. As an application, in the second part, we construct example of smooth surface of degr…
Degeneracy of holomorphic mappings into or avoiding Fermat type hypersurfaces
Dinh Tuan Huynh
We prove that if is a holomorphic mapping of maximal rank whose image lies in the Fermat hypersurface of degree $d>(n+1)\ma…
Holomorphic mappings of maximal rank into projective spaces
Dinh Tuan Huynh
Let be two positive integers. For a linearly nondegenerate holomorphic mapping of maximal rank intersecting…