Seminar in Real and Complex Geometry

Tuesday, 14.06.2015, 16:00-17:00, Schreiber building, room 209

Ziv Ran, University of California at Riverside

Generic projections


We study fibres of a generic projection of a smooth variety in projective space, in particular the locus of fibres of given length. In the case where the fibres have embedding dimension 2 or less, it is shown that the locus is smooth and has the expected dimension. This extends recent work by Gruson-Peskine (and many others).