English

Toroidal embeddings and polyhedral divisors

Algebraic Geometry 2009-09-29 v1

Abstract

Given an effective action of an (n-1)-dimensional torus on an n-dimensional normal affine variety, Mumford constructs a toroidal embedding, while Altmann and Hausen give a description in terms of a polyhedral divisor on a curve. We compare the fan of the toroidal embedding with this polyhedral divisor.

Keywords

Cite

@article{arxiv.0707.0917,
  title  = {Toroidal embeddings and polyhedral divisors},
  author = {Robert Vollmert},
  journal= {arXiv preprint arXiv:0707.0917},
  year   = {2009}
}

Comments

5 pages, 1 figure

R2 v1 2026-06-21T08:55:45.026Z