30 citations · 55 across the 3 of their papers we have counts for
3 papers
math.AG2011★ 15 cited
Upgrading and Downgrading Torus Actions
Nathan Owen Ilten, Robert Vollmert
K. Altmann and J. Hausen have shown that affine T-varieties can be described in terms of p-divisors. Given a p-divisor describing a T-variety X, we show how to construct new p-divi…
math.AG2009★ 30 cited
Deformations of Rational T-Varieties
Nathan Owen Ilten, Robert Vollmert
We show how to construct certain homogeneous deformations for rational normal varieties with codimension one torus action. This can then be used to construct homogeneous deformatio…
math.AG2007★ 10 cited
Toroidal embeddings and polyhedral divisors
Robert Vollmert
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 descript…