English

Symmetric subvarieties of infinite affine space

Algebraic Geometry 2021-06-15 v2 Commutative Algebra

Abstract

We classify the subvarieties of infinite dimensional affine space that are stable under the infinite symmetric group. We determine the defining equations and point sets of these varieties as well as the containments between them.

Keywords

Cite

@article{arxiv.2011.09009,
  title  = {Symmetric subvarieties of infinite affine space},
  author = {Rohit Nagpal and Andrew Snowden},
  journal= {arXiv preprint arXiv:2011.09009},
  year   = {2021}
}