5 citations · 14 across the 9 of their papers we have counts for
6 papers · 1 filter
Variation of the Hausdorff dimension and degenerations of Schottky groups
Nguyen-Bac Dang, Vlerë Mehmeti
We show that the Hausdorff dimension of the limit set of a Schottky group varies continuously over the moduli space of Schottky groups defined over any complete valued field constr…
Dynamical degrees of automorphisms on abelian varieties
Nguyen-Bac Dang, Thorsten Herrig
For any given Salem number, we construct an automorphism on a simple abelian variety whose first dynamical degree is the square of the Salem number. Our construction works for both…
Intersection theory of nef b-divisor classes
Nguyen-Bac Dang, Charles Favre
We prove that any nef b-divisor class on a projective variety defined over an algebraically closed field of characteristic 0 is a decreasing limit of nef Cartier classes. Building…
Spectral interpretations of dynamical degrees and applications
Nguyen-Bac Dang, Charles Favre
We prove that dynamical degrees of rational self-maps on projective varieties can be interpreted as spectral radii of naturally defined operators on suitable Banach spaces. General…
Degree growth for tame automorphisms of an affine quadric threefold
Nguyen-Bac Dang
In this paper, we consider the degree sequences of the tame automorphisms preserving an affine quadric threefold. Using some valuatives estimates derived from the work of Shestakov…
Degrees of Iterates of Rational Maps on Normal Projective Varieties
Nguyen-Bac Dang
Let X be a normal projective variety defined over an algebraically closed field of arbitrary characteristic. We study the sequence of intermediate degrees of the iterates of a domi…