Limits of Tangents of Surfaces
Joao Cabral, Orlando Neto
TL;DR
This paper investigates the behavior of tangent limits of surfaces, providing a method to compute them and deriving an embedded version of Jung's desingularization theorem for certain surface singularities.
Contribution
It introduces a way to compute tangent limits of surfaces and extends Jung's desingularization theorem to cases with finite tangent limits.
Findings
Computed limits of tangents for arbitrary surfaces.
Derived an embedded version of Jung's desingularization theorem.
Applied results to surface singularities with finite tangent limits.
Abstract
We compute the limit of tangents of an arbitrary surface. We obtain as a byproduct an embedded version of Jung's desingularization theorem for surface singularities with finite limits of tangents.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric Analysis and Curvature Flows