Algebraic Geometry Seminar
Remke Kloosterman
Humboldt U. Berlin.
Maximal families of nodal varieties with defect.
Abstract: Cheltsov proved that a nodal hypersurface $X$ of degree $d$, which is
not Q-factorial, has at least $(d-1)^2$ nodes, and if equality holds
then $X$ contains a plane. We present a new proof for this result and
explain how one can generalize our methods to other cases such as
hypersurfaces with arbitrary semi-quasihomogeneous singularities, nodal
double solids and nodal complete intersection threefolds.
Wednesday October 16, 2013 at 5:00 PM in SEO 427