Note on generic singularities of planar flat 3-webs
Sergey I. Agafonov
TL;DR
This paper defines a notion of genericity for singular flat planar 3-webs created by implicit ODEs and classifies their typical singularities.
Contribution
It introduces a new definition of genericity and provides a classification of the common singularities in planar flat 3-webs.
Findings
Classification of generic singularities of flat 3-webs
A new definition of genericity for such webs
Framework for analyzing singularities in implicit ODEs
Abstract
We propose a definition of genericity for singular flat planar 3-webs formed by integral curves of implicit ODEs and give a classification of generic singularities of such webs.
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