Real Monoid Surfaces

Thursday, May 31, 2007 - 1:30pm - 2:00pm
EE/CS 3-180
Ragni Piene (University of Oslo)
A monoid surface is a surface of degree d which has a singular point of
multiplicity d-1. Any monoid surface admits a rational parameterization,
hence is of potential interest in computer aided geometric design. The
possible real forms of the singularities on a monoid surface are
determined. These results are applied to the classification of quartic
monoid surfaces and a study of a stratification of the parameter space of
these surfaces. A part of this work is joint with M. Løberg and P.H.
Johansen, the other part is due to P.H. Johansen.