English

On orbits of the automorphism group on a complete toric variety

Algebraic Geometry 2012-01-13 v2

Abstract

Let X be a complete toric variety and Aut(X) be the automorphism group. We give an explit description of Aut(X)-orbits on X. In particular, we show that Aut(X) acts on X transitively if and only if X is a product of projective spaces.

Keywords

Cite

@article{arxiv.1110.4275,
  title  = {On orbits of the automorphism group on a complete toric variety},
  author = {Ivan Bazhov},
  journal= {arXiv preprint arXiv:1110.4275},
  year   = {2012}
}

Comments

10 pages, 4 figures