Singularities of convex improper affine maps
Marcos Craizer
TL;DR
This paper classifies the singularities of convex improper affine maps in 3D space using a novel generating family approach similar to the area function.
Contribution
It introduces a new generating family method to analyze singularities of convex improper affine maps, expanding understanding in affine differential geometry.
Findings
Classification of singularities achieved
Development of a generating family analogous to the area function
Enhanced understanding of convex improper affine maps
Abstract
In this paper we consider convex improper affine maps of the 3-dimensional affine space and classify their singularities. The main tool developed is a generating family with properties that closely resembles the area function for non-convex improper affine maps.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Topics in Algebra