Rigidity of proper holomorphic self-mappings of the hexablock
Abstract
The hexablock \(H\), introduced by Biswas-Pal-Tomar Hexablock, is a Hartogs domain in \(C4\) fibered over the tetrablock \(E\) in \(C3\), arising in the context of \(μ\)-synthesis problems. In this paper, we prove that every proper holomorphic self-map of \(H\) is necessarily an automorphism. Consequently, we resolve the conjecture \(G(H) = Aut(H)\) on the automorphism group structure, originally posed by Biswas-Pal-Tomar in Hexablock.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.