Desingularization of Legendrian Surfaces
Antonio Araujo, Joao Cabral, Orlando Neto
TL;DR
This paper presents a theorem for resolving singularities in Legendrian surfaces that are conormal to quasi-ordinary hypersurfaces, advancing the understanding of their geometric structure.
Contribution
It introduces a desingularization method specifically for Legendrian surfaces associated with quasi-ordinary hypersurfaces, a novel approach in contact geometry.
Findings
Established a desingularization theorem for Legendrian surfaces
Applied the theorem to surfaces conormal to quasi-ordinary hypersurfaces
Enhanced understanding of Legendrian surface singularities
Abstract
In this paper we prove a desingularization theorem for Legendrian surfaces that are the conormal of a quasi-ordinary hypersurface.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Algebraic Geometry and Number Theory