English

Galois subspaces for the rational normal curve

Algebraic Geometry 2018-09-11 v1

Abstract

We characterize all (n2)(n-2)-dimensional linear subspaces of Pn\mathbb{P}^{n} such that the induced linear projection, when restricted to the rational normal curve, gives a Galois morphism. We give an explicit description of these spaces as a disjoint union of locally closed subvarieties in the Grassmannian G(n2,n)\mathbb{G}(n-2,n).

Keywords

Cite

@article{arxiv.1809.02635,
  title  = {Galois subspaces for the rational normal curve},
  author = {Robert Auffarth and Sebastián Rahausen},
  journal= {arXiv preprint arXiv:1809.02635},
  year   = {2018}
}

Comments

12 pages, comments welcome

R2 v1 2026-06-23T03:58:25.674Z