Holomorphic motions and complex geometry
Herv\'e Gaussier (IF), Harish Seshadri (IISc)
TL;DR
This paper proves that the graph of a holomorphic motion of the unit disc cannot be biholomorphically equivalent to a strongly pseudoconvex domain in complex n-dimensional space, revealing limitations in complex geometric mappings.
Contribution
It establishes a new non-biholomorphic equivalence result for graphs of holomorphic motions and strongly pseudoconvex domains in complex geometry.
Findings
Graph of a holomorphic motion of the unit disc cannot be biholomorphic to a strongly pseudoconvex domain.
Provides insight into the geometric structure of holomorphic motions.
Highlights limitations in complex geometric mappings.
Abstract
We show that the graph of a holomorphic motion of the unit disc cannot be biholomorphic to a strongly pseudoconvex domain in C n .
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Algebraic and Geometric Analysis