2004/06/16 by Edoardo Ballico, Ballico, Edoardo, Claudio Fontanari +1
Computer Science · Mathematics · #14N05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14N05
paper · pdf · doi:10.48550/arxiv.math/0406320
arxiv created 2004/06/16 · openalex publication_date 2004/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Here we investigate the birational geometry of projective varieties of arbitrary dimension having defective higher secant varieties. We apply the classical tool of tangential projections and we determine natural conditions for uniruledness, rational connectivity, and rationality.