Remke Kloosterman : Maximal families of nodal varieties with defect.

Posted by Anatoly S. Libgober , part of the Algebraic Geometry Seminar.

At

Oct. 16, 2013, 5 p.m.

In

SEO 427

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.