20 citations · 39 across the 11 of their papers we have counts for
11 papers
Log del Pezzo -surfaces, Kähler-Einstein metrics, Kähler-Ricci solitons and Sasaki-Einstein metrics
Daniel Hättig, Jürgen Hausen, Hendrik Süß
We consider two classes of non-toric log del Pezzo -surfaces: on the one side the 1/3-log canonical ones and on the other side those of Picard number one and Gorenste…
On intrinsic quadrics
Anne Fahrner, Juergen Hausen
An intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case f…
Computing Cox rings
Juergen Hausen, Simon Keicher, Antonio Laface
We consider modifications, for example blow ups, of Mori dream spaces and provide algorithms for investigating the effect on the Cox ring, e.g. testing finite generation or computi…
Gluing affine torus actions via divisorial fans
Klaus Altmann, Juergen Hausen, Hendrik Suess
Generalizing the passage from a fan to a toric variety, we provide a combinatorial approach to construct arbitrary effective torus actions on normal, algebraic varieties. Based on…
Orbit spaces of small tori
A. A'Campo-Neuen, J. Hausen
Consider an algebraic torus of small dimension acting on an open subset of a complex vector space, or more generally on a quasiaffine variety such that a separated orbit space exis…
Homogeneous Coordinates and Quotient Presentations for Toric Varieties
A. A'Campo-Neuen, J. Hausen, S. Schroeer
Generalizing cones over projective toric varieties, we present arbitrary toric varieties as quotients of quasiaffine toric varieties. Such quotient presentations correspond to grou…