Unirational Generalized Offset to Hypersurfaces
Date: July 18th (Thursday)
Time: 10:30-11:00
Abstract
In this talk, we introduce the notion of generalized offset to hypersurfaces, and we
present a theoretical analysis of the rationality and unirationality of generalized offsets.
Characterizations for deciding whether the generalized offset to a hypersurface is unirational
or it has two unirational components are given. As an application, algorithmic approaches
for surfaces and plane curves are outlined. Furthermore, we present a formula for computing
the geometric genus of generalized offset curves by means of the degree and the
multiplicities of the singularites of the original curve.
