On a Class of Singular Complex Manifolds
Alireza Bahraini
TL;DR
This paper introduces a new class of singular complex manifolds and develops a specialized Kodaira-Hodge theory to analyze their geometric and topological properties.
Contribution
It presents a novel class of singular complex manifolds and extends Kodaira-Hodge theory to handle their degeneracies.
Findings
Establishment of a degenerate Kodaira-Hodge theory for the new class
Insights into the geometric structure of singular complex manifolds
Potential applications to complex geometry and algebraic geometry
Abstract
We introduce a new class of singular complex manifolds and we develop a degenerate Kodaira-Hodge theory for this class of singular manifolds.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Nonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems