Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program

We determine set-theoretic defining equations for the variety Dualk,d,N P(Sd CN ) of hypersurfaces of degree d in CN that have dual variety of dimension at most k. We apply these equations to the Mulmuley-Sohoni variety GLn2

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: J. M. Landsberg, Laurent Manivel, Nicolas Ressayre
• Keywords: CORR 2010, Dual Variety, Education, Mulmuley-Sohoni Variety, Set-theoretic Defining Equations