English

Equations for secant varieties to Veronese varieties

Algebraic Geometry 2011-12-02 v2 Commutative Algebra

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.

Cite

@article{arxiv.1006.0180,
  title  = {Equations for secant varieties to Veronese varieties},
  author = {J. M. Landsberg and Giorgio Ottaviani},
  journal= {arXiv preprint arXiv:1006.0180},
  year   = {2011}
}

Comments

This paper has been withdrawn because it and arXiv:1010.1825 have been merged, forming the new paper arXiv:1111.4567

R2 v1 2026-06-21T15:30:34.289Z