2003/11/21 by J. M. Landsberg, Landsberg, J. M., Laurent Manivel +2
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #Representation Theory (math.RT) #Tensor decomposition and applications #math.AG #math.RT
paper · pdf · doi:10.48550/arxiv.math/0311388
19 pages
arxiv created 2003/11/21 · openalex publication_date 2003/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors and solve the conjecture set-theoretically for an arbitrary number of factors. We determine the low degree components of the ideals of secant varieties of small dimension in a few cases.