Formal meromorphic functions on manifolds of finite type
Robert Juhlin, Bernhard Lamel, Francine Meylan
TL;DR
This paper proves that any real-valued formal meromorphic function on a formal generic submanifold of finite type must be constant, highlighting a rigidity property in several complex variables.
Contribution
It establishes a new rigidity result for formal meromorphic functions on finite type submanifolds, extending understanding of their behavior in complex analysis.
Findings
Formal meromorphic functions are constant on finite type submanifolds.
The result applies to real-valued functions on formal generic submanifolds.
It advances the theory of functions in several complex variables.
Abstract
It is shown that a real-valued formal meromorphic function on a formal generic submanifold of finite Kohn-Bloom-Graham type is necessarily constant.
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Mathematical Dynamics and Fractals