Showing math.CVShow all
3 papers · 1 filter
math.CV2026
Rigidity of proper holomorphic maps between balls with Hölder boundary regularity
Kyle Huang, Jinwoo Park, Aleksander Skenderi +3
In this paper, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and which extend to Hölder continuous maps on the boundary, with…
math.CV2025
Weakly holomorphic homogeneous regular manifolds
Andrew Zimmer
We introduce a class of complex manifolds which we call weakly holomorphic homogeneous regular manifolds (wHHR) manifolds. As the name suggests, this class contains the so-called h…
math.CV2023
Smooth equivalence of families of strongly pseudoconvex domains
Hervé Gaussier, Xianghong Gong, Andrew Zimmer
We establish a smoothness result for families of biholomorphisms between smooth families of strongly pseudoconvex domains, each with trivial biholomorphism group. This is accomplis…