English

Hyperdeterminantal relations among symmetric principal minors

Rings and Algebras 2007-10-13 v2 Commutative Algebra

Abstract

The principal minors of a symmetric n×nn{\times}n-matrix form a vector of length 2n2^n. We characterize these vectors in terms of algebraic equations derived from the 2×2×2 2{\times}2{\times}2-hyperdeterminant.

Keywords

Cite

@article{arxiv.math/0604374,
  title  = {Hyperdeterminantal relations among symmetric principal minors},
  author = {Olga Holtz and Bernd Sturmfels},
  journal= {arXiv preprint arXiv:math/0604374},
  year   = {2007}
}

Comments

12 pages; referee's suggestions incorporated, new section "Invariance and the Quartic Generation Conjecture" added

R2 v1 2026-07-22T17:34:36.506Z