6533b85efe1ef96bd12c053b

RESEARCH PRODUCT

Finitely determined singularities of ruled surfaces in 3

R. MartinsJ. J. Nuño Ballesteros

subject

PhysicsPure mathematicsSingularityRuled surfaceSimple (abstract algebra)General MathematicsTopological classificationGermGravitational singularityGeometry

description

AbstractWe study local singularities of ruled surfaces in 3. We show that any map germ f : (2, 0) → (3, 0) with a simple singularity is -equivalent to a ruled surface. Moreover, we give a topological classification of -finitely determined singularities of ruled surfaces and show that there are just eleven topological classes.

https://doi.org/10.1017/s0305004109002618