Singular Points of Affine ML-Surfaces
Ratnadha Kolhatkar
TL;DR
This paper proves that affine surfaces with trivial Makar-Limanov invariant have finitely many singular points and that certain complete intersection surfaces are normal, using geometric methods.
Contribution
It provides a geometric proof linking trivial Makar-Limanov invariant to the finiteness of singular points and normality of specific affine surfaces.
Findings
Affine surfaces with trivial Makar-Limanov invariant have finitely many singular points.
Complete intersection surfaces with trivial Makar-Limanov invariant are normal.
The paper offers a geometric proof approach.
Abstract
We give a geometric proof of the fact that any affine surface with trivial Makar-Limanov invariant has finitely many singular points. We deduce that a complete intersection surface with trivial Makar-Limanov invariant is normal.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals · Geometric and Algebraic Topology