59 citations · 277 across the 36 of their papers we have counts for
37 papers · 1 filter
On Gorenstein Fano toric complete intersections
Juergen Hausen, Paul Weiss
We classify Q-factorial Gorenstein Fano non-degenerate complete intersection threefolds in fake weighted projective spaces.
The automorphism group of a rational projective k*-surface
Juergen Hausen, Timo Hummel
We consider possibly singular rational projective k*-surfaces and provide an explicit description of the unit component of the automorphism group in terms of isotropy group orders…
The anticanonical complex for non-degenerate toric complete intersections
Juergen Hausen, Christian Mauz, Milena Wrobel
The anticanonical complex generalizes the Fano polytope from toric geometry and has been used to study Fano varieties with torus action so far. We work out the case of complete int…
On smooth Fano fourfolds of Picard number two
Juergen Hausen, Antonio Laface, Christian Mauz
We classify the smooth Fano 4-folds of Picard number two that have a general hypersurface Cox ring.
On torus actions of higher complexity
Juergen Hausen, Christoff Hische, Milena Wrobel
We systematically produce algebraic varieties with torus action by constructing them as suitably embedded subvarieties of toric varieties. The resulting varieties admit an explicit…
On iteration of Cox rings
Juergen Hausen, Milena Wrobel
We characterize all varieties with a torus action of complexity one that admit iteration of Cox rings.