Formal Equivalences in $\mathbb{C}^{4}$
Valentin Burcea
TL;DR
This paper investigates formal holomorphic mappings that preserve Segre structures between real hypersurfaces in complex four-dimensional space, building on prior solutions in lower dimensions.
Contribution
It extends the analysis of Segre preserving mappings to higher-dimensional complex spaces, specifically $ ext{C}^4$, providing new insights into their formal equivalences.
Findings
Solved standard problems in $ ext{C}^2$ cases
Extended formal equivalence results to $ ext{C}^4$
Enhanced understanding of holomorphic Segre mappings
Abstract
There are solved standard problems related to Formal (Holomorphic) Segre preserving Mappings of non-trivial Real-Formal Hypersurfaces in .
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Topics in Algebra