On the ideals and singularities of secant varieties of Segre varieties

2006/01/18 by J. M. Landsberg, Jerzy Weyman, Landsberg, J. M. +1 · 2 citations
Computer Science · Mathematics · #13B99 #14Q15 #15A69 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.math/0601452

openalex publication_date 2006/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find generators for the ideals of secant varieties of Segre varieties in several the cases including the Garcia-Stillmann-Ssturmfels conjecture for four factors and prove results about their singularities.

Cited by

• Singularities of the Secant Variety
• Symplectic bundles on the plane, secant varieties and Lüroth quartics revisited

Related

• On the ideals of secant varieties of Segre varieties
• Singularities of the Secant Variety
• On the ideals of Secant Varieties to certain rational varieties
• Induction for secant varieties of Segre varieties
• Singularities and syzygies of secant varieties of smooth projective varieties