Several types of cubic hypersurfaces with degenerate Gauss map

Yewon Jeong
2019-11-21 10:30-11:30
MCM110


Speaker: Dr. Yewon Jeong (MCM)
Title: Several types of cubic hypersurfaces with degenerate Gauss map
Time: 10:30-11:30am, Nov 21, 2019
Place: MCM110
 
Abstract: Given a hypersurface X = V ( f ) in a complex projective space, the Gauss map of X can be regarded as the restriction of the gradient map of f on X. We say, the hypersurface X has degenerate Gauss map if general fibers of the Gauss map have positive dimension. Especially for cubic hypersurfaces with degenerate Gauss map, there is an interesting classification of them. We will study several types of cubic hypersurfaces and the relation between them.