6 citations · 24 across the 10 of their papers we have counts for
4 papers · 1 filter
Cox rings and combinatorics
Florian Berchtold, Juergen Hausen
For a variety with a finitely generated total coordinate ring, we describe basic geometric properties in terms of certain combinatorial structures living in its divisor class group…
Polyhedral Divisors and Algebraic Torus Actions
Klaus Altmann, Juergen Hausen
We provide a complete description of normal affine varieties with effective algebraic torus action in terms of what we call proper polyhedral divisors on semiprojective varieties.…
Bunches of cones in the divisor class group -- A new combinatorial language for toric varieties
Florian Berchtold, Juergen Hausen
As an alternative to the description of a toric variety by a fan in the lattice of one parameter subgroups, we present a new language in terms of what we call bunches -- these are…
Geometric Invariant Theory based on Weil Divisors
Juergen Hausen
Given an action of a reductive group on a normal variety, we construct all invariant open subsets admitting a good quotient with a quasiprojective or a divisorial quotient space. O…