English

The Cayley-Menger determinant is irreducible for $n\geq 3$

Commutative Algebra 2007-05-23 v1 Metric Geometry

Abstract

We prove that the Cayley-Menger determinant of an nn-dimensional simplex is an absolutely irreducible polynomial for n3.n\geq3. We also study the irreducibility of polynomials associated to related geometric constructions.

Keywords

Cite

@article{arxiv.math/0406359,
  title  = {The Cayley-Menger determinant is irreducible for $n\geq 3$},
  author = {Carlos D'Andrea and Martin Sombra},
  journal= {arXiv preprint arXiv:math/0406359},
  year   = {2007}
}

Comments

7 pages, 4 figures