33 citations · 41 across the 4 of their papers we have counts for
4 papers
Merging divisorial with colored fans
Klaus Altmann, Valentina Kiritchenko, Lars Petersen
Given a spherical homogeneous space G/H of minimal rank, we provide a simple procedure to describe its embeddings as varieties with torus action in terms of divisorial fans. The to…
Okounkov Bodies of Complexity-One T-Varieties
Lars Petersen
We compute Okounkov bodies of projective complexity-one T-varieties with respect to two types of invariant flags. In particular, we show that the latter are rational polytopes. Mor…
Cox rings of rational complexity one T-varieties
Klaus Altmann, Lars Petersen
Let X be a Mori dream space together with an effective torus action of complexity one. In this note, we construct a polyhedral divisor on a suitable covering of the projective line…
Torus invariant divisors
Lars Petersen, Hendrik Süß
Using the language of polyhedral divisors and divisorial fans we describe invariant divisors on normal varieties X which admit an effective codimension one torus action. In this pi…