The-Anh Ta

activity

20172020

d ⩾ (n lo g n)^{n}

and

d ⩾ (n lo g n)^{n}

in the Conjectures of Green-Griffiths and of Kobayashi

4 citations · 4 across the 4 of their papers we have counts for

collaborators

5 papers

math.CV2020

Normal Forms for Rigid $C_{2, 1}$ Hypersurfaces $M^{5} \subset C^{3}$

Zhangchi Chen, Wei-Guo Foo, Joel Merker +1

Consider a $2$ -nondegenerate constant Levi rank $1$ rigid $C^{ω}$ hypersurface $M^{5} \subset C^{3}$ in coordinates $(z, ζ, w = u + i v)$ : \[ u = F\big(z,ζ,\bar{z},\bar…

math.CV2019

Nonvanishing of Cartan CR curvature on boundaries of Grauert tubes around hyperbolic surfaces

Wei Guo Foo, Joel Merker, The-Anh Ta

We show that the boundaries of thin strongly pseudoconvex Grauert tubes, with respect to the Guillemin-Stenzel Kähler metric canonically associated with the Poincaré metric on clos…

math.DG2019

Rigid equivalences of $5$ -dimensional $2$ -nondegenerate rigid real hypersurfaces $M^{5} \subset C^{3}$ of constant Levi rank $1$

Wei Guo Foo, Joel Merker, The-Anh Ta

We study the local equivalence problem for real-analytic ( $C^{ω}$ ) hypersurfaces $M^{5} \subset C^{3}$ which, in coordinates $(z_{1}, z_{2}, w) \in C^{3}$ with $w =…

math.AG2019★ 4 cited

Degrees $d ⩾ (n lo g n)^{n}$ and $d ⩾ (n lo g n)^{n}$ in the Conjectures of Green-Griffiths and of Kobayashi

Joel Merker, The-Anh Ta

Once first answers in any dimension to the Green-Griffiths and Kobayashi conjectures for generic algebraic hypersurfaces $X^{n - 1} \subset P^{n} (C)$ have be…

math.CV2017

Parametric CR-umbilical Locus of Ellipsoids in $C^{2}$

Wei-Guo Foo, Joel Merker, The-Anh Ta

For every real numbers $a ⩾ 1$ , $b ⩾ 1$ with $(a, b) \neq = (1, 1)$ , the curve parametrized by $θ \in R$ valued in $C^{2} ≅ R^{4}$ \[ γ\, \col…

Normal Forms for Rigid C2,1​ Hypersurfaces M5⊂C3

Nonvanishing of Cartan CR curvature on boundaries of Grauert tubes around hyperbolic surfaces

Rigid equivalences of 5-dimensional 2-nondegenerate rigid real hypersurfaces M5⊂C3 of constant Levi rank 1

Degrees d⩾(n​logn)n and d⩾(nlogn)n in the Conjectures of Green-Griffiths and of Kobayashi

Parametric CR-umbilical Locus of Ellipsoids in C2

Normal Forms for Rigid $C_{2, 1}$ Hypersurfaces $M^{5} \subset C^{3}$

Rigid equivalences of $5$ -dimensional $2$ -nondegenerate rigid real hypersurfaces $M^{5} \subset C^{3}$ of constant Levi rank $1$

Degrees $d ⩾ (n lo g n)^{n}$ and $d ⩾ (n lo g n)^{n}$ in the Conjectures of Green-Griffiths and of Kobayashi

Parametric CR-umbilical Locus of Ellipsoids in $C^{2}$