Equations for secant varieties to Veronese varieties

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.

This paper has been withdrawn because it and arXiv:1010.1825 have been merged, forming the new paper arXiv:1111.4567

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