DiMaI - Dipartimento di Matematica e Informatica "Ulisse Dini"

Il Prof. Kristian Ranestad (Oslo) terra' un seminario
Venerdi' 5 Febbraio alle 12 in sala Tricerri dal titolo

"The convex hull of a space curve"

Abstract: The boundary of the convex hull of a compact algebraic curve
in real 3-space defines a real algebraic surface. For general curves,
that boundary surface is reducible, consisting of tritangent planes and
a scroll of stationary bisecants. In recent work with Sturmfels we
extend classical formulas to express the degree of this surface in terms
of the degree, genus and singularities of the curve. For rational
curves we present methods for computing their defining polynomials, and
exhibit a range of examples.