Equations for secant varieties to Veronese varieties

2010/06/01 by Landsberg, J. M., Ottaviani, Giorgio
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1006.0180

Abstract

We define new classes of modules of equations for secant varieties of Veronese varieties using representation theory and geometry. We also revisit some old modules of equations (catalecticant minors) to determine when they are sufficient to give scheme-theoretic defining equations.

Related

• Equations for secant varieties of Veronese and other varieties
• Equations for secant varieties via vector bundles
• Secant varieties to high degree Veronese reembeddings, catalecticant\n matrices and smoothable Gorenstein schemes
• Vector bundles give equations of cactus varieties
• Finite schemes and secant varieties over arbitrary characteristic