J. D'Angelo

activity

19952025

most citedComplexity results for CR mappings between spheres

25 citations · 92 across the 22 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.CV2017

Symmetries and regularity for holomorphic maps between balls

John P. D'Angelo, Ming Xiao

Let $f : B^{n} \to B^{N}$ be a holomorphic map. We study subgroups $Γ_{f} \subseteq Aut (B^{n})$ and $T_{f} \subseteq Aut (B^{N})$ . When $f$ is…

math.CV2017

A remark on finite type conditions

John P. D'Angelo

We prove that a certain positivity condition, considerably more general than pseudoconvexity, enables one to conclude that the regular order of contact and singular order of contac…

math.CV2017★ 1 cited

On the classification of rational sphere maps

John P. D'Angelo

We prove a new classification result for (CR) rational maps from the unit sphere in some $C^{n}$ to the unit sphere in $C^{N}$ . To so so, we work at the level of He…

math.CV2017

Symmetries in CR complexity theory

John P. D'Angelo, Ming Xiao

We introduce the Hermitian-invariant group $Γ_{f}$ of a proper rational map $f$ between the unit ball in complex Euclidean space and a generalized ball in a space of typically higher…