47 citations · 221 across the 75 of their papers we have counts for
75 papers
Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two
Lei Hou, Dinh Tuan Huynh, Joël Merker +1
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 Second Main Theorem for Entire Curves Intersecting Three Conics
Lei Hou, Dinh Tuan Huynh, Joël Merker +1
We establish a Second Main Theorem for algebraically nondegenerate entire holomorphic curves \( f: \mathbb{C} \to \mathbb{P}^2 \) intersecting a generic configuration of three coni…
Global sections of the positively twisted Green-Griffiths bundles
Victor Chen, Joel Merker
With various jet orders and weights , let be the Green-Griffiths bundles over the projective space . Denote by $\mathcal{O} (d)…
On Affinely Homogeneous Submanifolds: The Power Series Method of Equivalence
Julien Heyd, Joel Merker
We determine all affinely homogeneous models for surfaces , including the simply transitive models. We employ an improved power series method of equivalen…
Infinitesimal CR Symmetries of Accidental CR Structures
C. Denson Hill, Joël Merker, Zhaohu Nie +1
In this companion paper to our article {\em Accidental CR structures} (arxiv.org, January 2023), thought of as an appendix not submitted for publication, we provide complete explic…
Accidental CR structures
C. Denson Hill, Joël Merker, Zhaohu Nie +1
We noticed a discrepancy between Élie Cartan and Sigurdur Helgason about the lowest possible dimension in which the simple exceptional Lie group can be realized. This r…