1998/09/30 by J. M. Landsberg, Joseph M. Landsberg, Landsberg, Joseph M.
Computer Science · Mathematics · #14 (Primary) 53 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Polynomial and algebraic computation #math.AG #math.DG #msc:14 #msc:53
paper · pdf · doi:10.48550/arxiv.math/9809184
70 pages, amstex, to be published in the SNU series
arxiv created 1998/09/30 · openalex publication_date 1998/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is an expanded and updated version of a lecture series I gave at Seoul National University in September 1997. It is in some sense an update of the 1979 Griffiths and Harris paper with a similar title. I discuss: Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, When can a uniruled variety be smooth?, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, Systems of quadrics with tangential defects, Recognizing uniruled varieties, Recognizing intersections of quadrics, Recognizing homogeneous spaces, Complete intersections. This is a preliminary version, so please send me comments, corrections and questions.