3 papers
math.CV2026
Proper maps of annuli
Abdullah Al Helal, Jiri Lebl, Achinta Kumar Nandi
We study proper holomorphic maps of annuli in complex Euclidean spaces, that is, domains with as the automorphism group. By the Hartogs phenomenon and a result of ForstneriÄ…
math.CV2025
Hermitian rank in ideal powers
Abdullah Al Helal, JiÅÃ Lebl
We prove that the (hermitian) rank of is bounded from below by the rank of whenever is not identically zero and real-analytic in a neighborhood of some point on th…
math.CV2024
Degree of Ball Maps with Maximum Geometric Rank
Abdullah Al Helal
This work focuses on the degree bound of maps between balls with maximum geometric rank and minimum target dimension where this geometric rank occurs. Specifically, we show that ra…