TL;DR
This paper studies simple cusp algebras, a class of subalgebras of holomorphic functions characterized by distributions at a point, and investigates conditions for their holization and biholomorphic equivalence.
Contribution
It characterizes when simple cusp algebras can be holized in two dimensions and when these holizations are globally biholomorphic.
Findings
Criteria for 2D holization of cusp algebras
Conditions for global biholomorphic equivalence
Classification of simple cusp algebras
Abstract
We consider simple cusp algebras, that is certain subalgebras of the algebra of holomorphic functions on a disk that are annihilated by some distributions living on a singleton. We determine when these algebras can be holized in two dimensions, and when these holizations are globally biholomorphic.
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Taxonomy
TopicsComputability, Logic, AI Algorithms