38 citations · 290 across the 76 of their papers we have counts for
88 papers
A rational surface with discrete and non-finitely generated automorphism group
Tien-Cuong Dinh, Keiji Oguiso, Xun Yu +1
We construct a smooth complex projective rational surface whose automorphism group is discrete and not finitely generated. It is obtained by blowing up a point on a branch curve of…
Quantitative hyperbolicity for complex manifolds via numerical invariants
Tien-Cuong Dinh, Duc-Bao Nguyen, Duc-Viet Vu
We introduce numerical invariants called hyperbolic indices, which measure the hyperbolicity of compact Kähler manifolds using directed positive closed currents. We prove that if a…
Siu's analyticity theorem for positive pluriharmonic currents
Tien-Cuong Dinh, Viet-Anh Nguyen, Duc-Bao Nguyen
Let be a positive -closed current of bidimension on a compact Kähler manifold . For every , let be the set of points of where the Lelong numb…
On the virtual invariants of zero entropy groups of compact Kähler manifolds
Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso +1
Let be a compact Kähler manifold. We study subgroups of biholomorphic automorphisms of zero entropy when is compact (e.g. when $\mat…
Monotonicity of dynamical degrees for H{é}non-like and polynomial-like maps
Fabrizio Bianchi, Tien-Cuong Dinh, Karim Rakhimov
We prove that, for every invertible horizontal-like map (i.e., H{é}non-like map) in any dimension, the sequence of the dynamical degrees is increasing until that of maximal value,…
Exponential mixing of all orders and CLT for automorphisms of compact K{ä}hler manifolds
Fabrizio Bianchi, Tien-Cuong Dinh
We consider the unique measure of maximal entropy of an automorphism of a compact K{ä}hler manifold with simple action on cohomology. We show that it is exponentially mixing of all…