English

Algebraic embeddings of $\mathbb{C}$ into $\textrm{SL}_n(\mathbb{C})$

Algebraic Geometry 2016-11-24 v2 Complex Variables

Abstract

We prove that any two algebraic embeddings of C\mathbb{C} into SLn(C)\textrm{SL}_n(\mathbb{C}) are the same up to an algebraic automorphism of SLn(C)\textrm{SL}_n(\mathbb{C}), provided that nn is at least 33. Moreover, we prove that two algebraic embeddings of C\mathbb{C} into SL2(C)\textrm{SL}_2(\mathbb{C}) are the same up to a holomorphic automorphism of SL2(C)\textrm{SL}_2(\mathbb{C}).

Keywords

Cite

@article{arxiv.1505.03735,
  title  = {Algebraic embeddings of $\mathbb{C}$ into $\textrm{SL}_n(\mathbb{C})$},
  author = {Immanuel Stampfli},
  journal= {arXiv preprint arXiv:1505.03735},
  year   = {2016}
}

Comments

10 pages, typos corrected, minor changes, improved exposition

R2 v1 2026-06-22T09:34:15.552Z