English

Geometry of orbits of permanents and determinants

Algebraic Geometry 2010-07-13 v1 Representation Theory

Abstract

We prove that the orbit closure of the determinant is not normal. A similar result is obtained for the orbit closure of the permanent multiplied by a power of a linear form.

Keywords

Cite

@article{arxiv.1007.1695,
  title  = {Geometry of orbits of permanents and determinants},
  author = {Shrawan Kumar},
  journal= {arXiv preprint arXiv:1007.1695},
  year   = {2010}
}

Comments

28 pages