Abstract
The singularities of the midpoint map associated to a smooth plane curve,
which is a map from the plane to the plane, are classified. The midlocus
associated to a regular space curve is introduced. The geometric conditions
for the midlocus of a space curve to have a crosscap or an S?1
singularities are investigated. A more general map, the ?-point map,
associated to a space curve is introduced and many known surface
singularities are realized as a special cases of this construction.
Publisher
National Library of Serbia
Cited by
1 articles.
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