Divergent CR-Equivalences and Meromorphic Differential Equations
I.Kossovskiy, R.Shafikov
TL;DR
This paper explores the analytic theory of differential equations to construct examples of Levi nonflat hypersurfaces in complex space that are formally but not holomorphically equivalent, including those with divergent formal CR-automorphisms.
Contribution
It provides new examples of Levi nonflat hypersurfaces demonstrating divergence in formal CR-automorphisms and formal versus holomorphic equivalence.
Findings
Constructed examples of formally but not holomorphically equivalent hypersurfaces
Presented examples with divergent formal CR-automorphisms
Enhanced understanding of equivalence problems in CR geometry
Abstract
Using the analytic theory of differential equations, we construct examples of formally but not holomorphically equivalent real-analytic Levi nonflat hypersurfaces in together with examples of such hypersurfaces with divergent formal CR-automorphisms.
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Taxonomy
TopicsHolomorphic and Operator Theory · Meromorphic and Entire Functions · Algebraic and Geometric Analysis